Who are the ten characters invited to Indian Island? What crimes are they are accused of?

The guests invited to Indian Island
are:

1. Justice Lawrence Wargrave -Justice Wargrave was
known for for giving out the death penalty pretty freely.  He was accused of unfairly
convincing a jury to convict Edward Seton of murder when there was limited
evidence.

2. Vera Claythorne -She was the former governess
to Cyril Hamilton.  She was responsible for allowing him to swim out to sea and drown
because she hoped that his Uncle Hugo Hamilton would marry her after he inherited
Cyril's fortune.

3. Phillip Lombard -Lomard stole food from
an African tribe, causing them to starve to death.

4. Emily
Brent - Brent was a very strict religious woman who dismissed her maid, Beatrice Taylor,
because she was pregnant and unmarried.  Because of this, Beatrice committed suicide by
throwing herself into the river.

5. General John MacArthur
- MacArthur was a jealous husband.  He assigned a suicide mission to his wife's lover,
Arthur Richmond.

6. Dr. Edward Armstrong -Armstrong was a
surgeon who operated while intoxicated, causing the death of Louisa
Clees.

7. Anthony Marston - Marston like to drive fast.  He
ran over and killed two children

8. William Blore - Blore
was a former police inspector, turned private detective.  After being bribed, he was
responsible for James Lander being sentenced to life in prison even though he was an
innocent man.

9. Ethel Rogers - Helped her husband, Thomas,
kill her employer, Jennifer Brady, by not giving her the medication she needed so that
they could inherit money

10. Thomas Rogers - An overbearing
man who dominated his wife, Ethel, and caused Jennifer Brady to succomb to heart failure
by withholding her medication.

What is the summary for Tuck Everlasting epilogue, and what does the term "epilogue" mean?

An epilogue is a section of a book that is found at the
end that brings closure to the story. In the epilogue of this novel, the Tucks return to
Treegap decades after Mae escaped from jail. They find everything has changed, and even
the Oak tree and the spring are gone, bulldozed over by the modern town. Tuck visits the
cemetery and finds Winnie's grave. He realizes that Winnie made the choice to live her
life naturally, and not drink from the spring, and he is proud of her for making that
decision, even as he tries not to cry at the realization that Winnie has died. However,
as they leave, they pass a toad in the road, the same toad that Winnie poured the magic
water over. In some way, Winnie left an impact that will live
on.

What is Third degree price discrimination?

Third degree price discrimination refers to the strategy
adopted by sellers to offer different prices to different groups of buyers for the same
product or service.

The buyers in each group share some
common features. For example, they could be of the same nationality, same religion, same
sex, same age group, etc.

The difference between buyers in
different groups creates a price elasticity of demand that is unique. If a group of
buyers is found to reduce buying the amount of what the seller sells to a large extent
if the price is raised, they can be offered a lower price. For groups of buyers that are
not influenced that much by the price, it can be kept
higher.

Third degree price differentiation requires that
the seller has sufficient control over the market to be able to decide the prices that
have to be accepted by the buyers. The seller should also be able to identify groups
with distinct characteristics. The separate groups formed should not be able to transact
among themselves, else the group that is being charged a higher price would buy from the
group that is being charged a lower price.

Third degree
price discrimination is used primarily to use the difference in price elasticity of
demand of different buyers and boost revenue.

Please discuss the significance of three speeches by Satan in John Milton's Paradise Lost.

Satan’s speeches in Milton’s Paradise
Lost are interesting not only for what they say about the different topics he
discusses but also for what they reveal or imply about Satan himself. Whenever Satan
speaks, he is inevitably telling us something about Satan, no matter what the ostensible
“subjects” of his speeches are.

Take, for example, his very
first words in the poem, words which he addresses to Beëlzebub. Satan begins as follows:
“If thou beest he; but O how fall’n!” (1.84). Satan speaks just four words before he
interrupts himself and blurts out a surprised exclamation. He looks at Beëlzebub and is
shocked by the change he sees. He cannot, of course, at this point see himself, but
Milton will make clear throughout the poem that Satan has been physically changed as
well. Yet these physical changes in the fallen angels are far less important than the
spiritual degeneration they symbolize.

Later in the same
speech to Beëlzebub, Satan refers to their “glorious enterprise” in rebelling against
God (1.89). The word “glorious” is, of course, highly ironic, because the rebellion was
glorious neither in its inception, its execution, or its ultimate results. Satan is
either deceiving Beëlzebub or deceiving himself (perhaps both); he habitually refuses to
face reality, but he is also, of course, a great liar. Thus, when Satan a few lines
later refers to God’s “rage” (1.95), he actually reveals one of his own most important
characteristics. Indeed, he is exhibiting this characteristic in the present
speech.

Another interesting example of the ways Satan’s
speeches are self-revealing occurs in lines 681-87 of Book 2. In that speech, addressed
to Death (whose identity Satan does not yet recognize), he reveals his pride, his
contempt for others, his combativeness, his defiance, and his resolute determination.
Yet he also reveals his tendency to deceive himself, as when he calls himself one of the
“Spirits of Heav’n” (2.687). Of course, he is at present no such thing, and indeed he
will be such a spirit never again. Having led the revolt that caused his own fall from
heaven, he cannot really bring himself to admit that he is now a denizen of
hell.

Finally, another example of the ways Satan’s speeches
reveal aspects of his own character occurs in Book 4, where he essentially tries to
blame God for his own evil designs on Adam and Eve (4.387-87). Here as so often
elsewhere in the poem, Satan refuses to face facts, refuses to accept personal
responsibility, and lies as much to himself as he does to
others.

For an excellent brief overview of the poem, please
see C. S. Lewis, A Preface to Paradise Lost (Oxford: Oxford
University Press, 1961).

What are all real x elements of the set A if they have the property | 3x - 4 | =

The property of the elements of the set A is to make the
inequality to hold.

We'll re-write the property, using
absolute value definition:

-6 =< 3x - 4 =<
6

We'll solve the system of
inequalities:

-6 =< 3x - 4 and 3x - 4 =<
6

We'll begin with the
first:

-6 =< 3x -
4

We'll add 4 both sideS:

-6 +
4 =< 3x

-2 =<
3x

x >= -2/3

We'll
solve the next inequality:

3x - 4 =<
6

We'll add 4 both sides:

3x
=< 6 + 4

3x =<
10

x =< 10/3

The common
interval of values that satisfy both inequalities is representing the set
A.

The set A is the opened interval: (-2/3 ;
10/3).

In "Greasy Lake," what is the name of the narrator?

The narrator of the story is not named, although his
character is very well developed in the story. At the beginning of the story, he sees
himself as "bad," a rebel of sorts; by the end of the story, all he wants to do is drive
home in his parents' now battered station wagon and crawl into the safety of his own
bed.

Composition of functions ( f * g )( x ) = ? ( g * f)( x ) = ? f( x ) = 1/( x + 3 ) ; g( x ) = x

In order to find the value of the composition of 2
functions, in our case f and g, we have to follow the
steps:

Step 1: First, we have to find out the expression of
the composition of the 2 functions:

(f*g)(x) =
f(g(x))

To find f(g(x)) we have to substitute x by g(x) in
the expression of f(x):

f(g(x)) = 1/(g(x) +
3)

Now, we'll substitute g(x) by it's
expression:

1/(g(x) + 3) = 1/(x +
3)

f(g(x)) = 1/(x +
3) 

The next step is to calculate
(g*f)(x).

g(f(x)) =
f(x)

g(f(x)) = 1/( x + 3
)

Though the composition of 2
functions is not commutative, in this case the results of (f*g)(x) and (g*f)(x) are
equal.

The mass of a bobcat is one-fifth the mass of an Arctic Wolf. Their combined mass is 48kg. What is the mass of the bobcat? The arctic Wolf?

Let the mass of a Bobcat be
B.

Let the mass of an Arctic wolf be
A.

Given that the mass for both is 48
kg.

==> A + B = 48
................(1)

But we are also given that the mass of
B is 1/5 of the mass of A.

==> B = 1/5 *
A................(2)

Now we will solve the system by
substituting (2) into (1).

==> A + (1/5 * A) =
48

==> (6/5)*A = 48

We
will multiply by 5/6

==> A = 48 * 5/6 =
40

==> B = 1/5 * 40 =
8

Then, the mass of the Bobcat is 8
kg.

The mass of the Arctic
Wolf is 40 kg.

Please help with a paraphrase.How can I change this into my own words? I've been playing around with it, but i can't figure out how to make it...

I think that you have a very strong starting point here. 
It seems to me that you might want to lay off the colon use and just word it to be a bit
more direct in what you are trying to say.  Something that popped into my mind would be
that "In his short story, A Lady's Beaded Bag, Tennessee Williams
argues that a part of human nature is the social classification of people on the basis
of wealth."  A similar way to approach this would be to bring out the "class system" in
the thesis statement.  I would say away from the idea of "hope, desperateness [sic] and
opportunity" because I think these are going to be brought out in the body of the
writing piece.  Williams is a writer who is able to bring out the social dimensions of
people's interaction in class systems or other forms of stratification, and when this is
brought out, I think that the emotions that are alluded to in the first part of the
thesis statement would become evident.

What is the absolute value of: (1 + i) (6 + 2i)/ (4 + i) (9 + 3i)

I would simplify the fraction first, by multiplying the
numerator and denominator separately.  Don't forget to use FOIL when multiplying 2
complex numbers!!

(1+i)(6+2i) = 6+2i+6i+2i^2 =6 + 8i -2 = 4
+ 8i

(4+i)(9+3i) = 36+12i+9i+3i^2 = 36 + 21i -3 = 33
+21i

You can't reduce, there's no matching factors in
numerator & denominator.  I'm going to factor, just so I don't have to use large
numbers.  If you use a calculator, you may just use the numbers
there...

4(1+2i)/3(11+7i)

I
need to multiply the numerator and denominator by the conjugate of the denominator, so
it goes to a whole number.  The conjugate of (11+7i) is
(11-7i)

4(1+2i)(11-7i) = 4(11-7i+22i-14i^2) = 4(11+15i+14)
= 4(25+15i)

3(11+7i)(11-7i) = 3(121-49i^2) = 3(121+49) =
3(170)

I'm going to factor my numbers again, so I can
reduce the fraction:

4(5)(5+3i)/3(10)17    =
20(5+3i)/30(17)  = 2(5+3i)/3(17)

My simplified
fraction would be (10 + 6i)/51.  Now we can apply the absolute value of a complex
number:

sqrt[(100+36)/51] = sqrt (136/51).  It now depends
on what your teacher accepts as an answer.  The real answer is irrational, and if your
teacher accepts approximations to a certain decimal point, use your calculator and do
it.

If your teacher accepts nothing less than an exact
answer, you have to rationalize the denominator by multiplying numerator and denominator
by sqrt 51.  Then the exact answer is:

(sqrt
6936)/51.

Good luck!

In "Autumn in the Oak Woods," how can we see the antagonistic sides of the two characters?

"Autumn in the Oak Woods" was written by Yuri Pavlovich at
a time in Soviet history when censorship has eased somewhat and writers revived the
prerogative of authors to criticize their cities and cultures as well as idealize the
country life that exists in opposition to industrialized cities. This time was known as
the "thaw period" and extended from the 1950s to the 1970s. Yuri Pavlovich forged his
own path in this period and neither fell in with the detractors of city life and culture
nor with the idealizers of the antithetical country life. On the contrary, Pavlovich
offers a balanced view that doesn't denigrate the city nor idealize the country, but
rather offers the country life as an alternative to those who seek solace and a quieter
life than what the city offers.

In light of this, Pavlovich
paints both the hero and heroine with equal, balanced strokes because he represents the
country and she represents the city. Pavlov uses them to show the balance he both
perceives and reveals. Therefore, there are no demonstrable antagonistic qualities to
either one, the hero or heroine. If there were, Pavlovich's message would be radically
altered. Either they would represent superiority of country or city over the other, when
his express purpose is to show balance, or they would represent opposition between
equally problematic country and city, when his other purpose is to offer the country as
a viable option to those who seek quietude and
naturalness.

The lack of antagonistic qualities to each
character is demonstrated by her willingness to understand his explanation of why he
won't care about killing the fox; by his willingness to turn his back while she dressed
and to agree to turn the lights out; and by her later comforting remarks that indeed
everything she is seeing is good.

Find the value of x for the equation 8*2^3x = 4^(x-1).

Given the equation:

8*2^3x =
4^(x-1)

We need to find x
value.

First we need to simplify the
bases.

We know that 8 = 2^3  and 4 =
2^2

==> (2^3)*(2^3x) =
2^2^(x-1)

Now we know that x^a * x^b =
x^(a+b)

Also, we know that x^a^b =
x^(ab)

==> 2^(3x+3) =
2^(2x-2)

Now that the bases equal, then the powers are
equal too.

==> 3x +3 = 2x
-2

We will combine like
terms.

==> x =
-5

Express the given function as a composition of 2 simple functions (x^3-x^2+2)^7.

In odrer to express the function into two dsimple
fuctions, you need to to:

1. Assume that (x^3 - x^2 + 2)=
f(x)

Now, assume g(x) = x^7

by
replacing x with f(x) you will get g(f(x)) =
[f(x)]^7

  but,  (x^3-x^2+2)^7 = [f(x)]^7 )= g(f(x)so we
can compose the function as follow:

g(f(x)) =
(x^3-x^2+2)^7, while f(x)= 9x^3-x^2+2)^7

Why did so many Americans end up opposing US participation in the Vietnam War?no

Someextra points to add to the many above.  The Vietnam
War was the first truly televised war for Americans.  Instead of gathering by the radio
and listening to motivating speeches and following the Allied forces' progress (as
Americans did during World War II), Americans watched--almost in real time--what was
going on in Vietnam.  The images of bleeding, burned, mutilated, or dead soldiers were
powerful and caused many to question if these losses (which now needed no imagination to
consider) were worth whatever the purpose of the war was supposed to
be.

Similarly, while the war was still in progress,
veterans began speaking out against it publicly.  Some told of the constant changes in
the war's purpose (at least how it was presented to them) which caused them to question
why they were in Vietnam. Others discussed the rules of engagement which differed
greatly from other American wars.  Instead of focusing on offense and victory, soldiers
were told to not fire unless fired upon.

Finally, we have
to remember that many of the men sent to Vietnam were baby boomers (the children of
World War II vets), and many of their parents raised them in the idyllic setting of the
1950s when Americans wanted to put war behind them and give their children everything
that they didn't have.  This type of upbringing resulted in a much different type of
American young person--not one who saw patriotism as all important or who was willing to
go wherever his country called--but one who had already established different goals for
himself or herself which didn't involve military service.  This is not true, of course,
of everyone of that generation (my dad voluntarily signed up and served a tour in
Vietnam), but it does reflect the contrast between generations.

how to evaluate cos13pi/6 and sin37pi/4?

We'll calculate cos
13pi/6.

We notice that we can
write:

13pi/6 = pi/6 +
12pi/6

pi/6 + 12pi/6 = pi/6 +
2pi

We can substitute 2pi by 0, because 2pi and 0 are
overlapping.

So,

cos 13pi/6
= cos (2pi + pi/6)

cos (2pi + pi/6) = cos 
pi/6

cos 13pi/6 = cos  pi/6 =
sqrt3/2

We'll calculate sin
37pi/4.

We notice that we can
write:

37pi/4 = pi/4 +
36pi/4

pi/4 + 36pi/4 = pi/4 +
9pi

But 9pi = 4*2pi + pi

We'll
substitute 2pi by 0.

4*2pi = 4*0 =
0

cos 37pi/4 = cos (pi/4 +
pi)

cos (pi/4 + pi) = - cos
pi/4

cos 37pi/4 = - cos pi/4 = -
sqrt2/2

In "Tintern Abbey," how do we know what season of the year it is?

The precise season in which Wordsworth revisits this
favourite beauty haunt of his is not mentioned specifically, but if you read the poem
carefully, there are a few clues that we can pick out that strongly suggest that the
season in which this poem was written was summer, though we cannot be entirely sure.
Consider the following quote:

readability="14">

...These plots of cottage-ground, these
orchard-tufts,

Which at this season, with their unripe
fruits,

Are clad in one green hue, and lose
themselves

'Mid groves and
copses.

Normally, in England,
apples and pears ripen in Autumn, so this would indicate that the "unripe fruits" which
are "clad in one green hue" are the result of the summer growth that will only ripen
with the onset of autumn. Another clue is that it is not actually raining. Summer is the
one season where you might be lucky enough to have a rain-free day in Britain, though
don't count on it! These two indications suggest that the season is
summer.

What is m from the problem in order that the Discriminator D to get the value zero so that x1=x2: 8(x^2-1)+m(x+1)-2x=0Alternative answers...

The given equation is : 8(x^2-1) + m(x+1) - 2x = 0. We
need the values of m for which the roots are
equal.

8(x^2-1) + m(x+1) - 2x =
0

=> 8x^2 - 8 + mx + m - 2x =
0

=> 8x^2 + x(m - 2) + m - 8 =
0

To ensure the roots are equal we need (m - 2)^2 =
4*(m-8)*8

=> m^2 + 4 - 4m = 32m -
256

=> m^2 - 36m + 260 =
0

=> m^2 - 26m - 10m + 260 =
0

=> m(m - 26) - 10(m - 26) =
0

=> (m - 26)(m - 10) =
0

m = 26 and m =
10

The required values are m = 26,
10

Describe the killing of Ikemefuna in Things Fall Apart.

It is in Chapter Seven in which this sad event in the
novel occurs. Key men from the tribe come to the house of Okonkwo with a pot of wine,
dressed in their ceremonial finery. They leave with Ikemefuna carrying the pot of wine.
As they journey, the men talk about normal things, but as they leave Umuofia, silence
falls upon them. As they carry on, they hear the faint beating of the
ekwe, a type of tribal drum. The men keep on pressing ahead. We are
told that Ikemefuna felt uneasy at first, but what calms him is the presence of his
"father," Okonkwo. We are shown Ikemefuna's thoughts about returning to his family.
Suddenly, one of the men cleared his throat, and Ikemefuna is told to continue without
looking back. Ikemefuna suddenly becomes incredibly afraid. As the men begin to kill
Ikemefuna, Okonkwo hears his plaintive cry:

readability="6">

"My father, they have killed
me!"

However, this does not
stop Okonkwo himself running towards him and joining in the slaughter, out of fear that
the others might consider him "weak" if he did not.

Why was Buck happy running with the wolf? Why does Buck leave the wolf?

In Chapter 7, Buck spends a long time running with a wolf
at one point.  The reason that he is happy to run with the wolf is that he is becoming
more and more interested in being a wild animal.  The old memories (from the distant
past, not his own life) are coming back to him and he is feeling the call of the
wild.

But for now, John Thornton is still a powerful
influence on him.  When Buck remembers Thornton, he leaves the wolf and goes back to be
with the man who he loves so much.

How do the Article of Confederation compare with the Constitution, esp. regarding specific powers given or denied the central government under each?

The Confederation Government was formed with the intent
and purpose of retaining the sovereignty of the individual states, as is stated in its
opening language. There was a single House of Congress with no Presidency of the United
States and no judiciary. The Confederation had jurisdiction over foreign affairs and the
unorganized territories of the U.S.; but not much else. There was no power to tax or
regulate commerce between the states; a two thirds vote of the states was required to
pass legislation and unanimous consent was required to amend them. They were, in fact,
never amended. The system created was cumbersome and unworkable and understandably did
not last long.

The Constitution arose from a convention
called to "Amend" the Articles of Confederation. It soon decided they were unworkable
and were abrogated. The Constitution grants eighteen specific powers to Congress under
Article I Section Eight, including but not limited to the power to tax, the power to
regulate commerce among the several states, declare war,  coin money, issue patents,
etc. It also grants Congress any power necessary and proper to carry out the enumerated
powers. It's limitations are that Congress may not pass ex post facto laws or Bills of
Attainder, or grant powers of nobility. By Amendment, the rights listed in the Bill of
Rights are protected. Finally, the 10th Amendment states all powers not prohibited to
the states are given to the Federal Government are reserved to the states. The latter
amendment is a favorite of Tea Party supporters.

What often happened at antiwar demonstrations in the early 1970s?Looking to find (2 or 3) specific examples to support your answer.

Colleges were often places where demonstrations were held
and they often turned violent, especially after the Kent State shootings. Some things
that occurred were arson, bombings, and vandalism. An example of the violence that
occurred is what happened at Kent State on May 4, 1970. Four peaceful protesters were
killed by National Guardsmen during a rally, and others were injured. This greatly
angered people.

In response to the Kent State shootings
there was a protest called the Kent State/Cambodia Incursion Protest. It happened in
Washington DC. Thousands of people marched even though it was put together very
quickly.

Strikes were often a result of opposition to the
war as well. An example is the National Student Strike. During this protest, more than
four million students refused to go to school resulting in many colleges being shut down
for the duration. Four hundred and fifty colleges were involved.

In "On My First Son" by Ben Jonson, what is the theme?

In this moving poem, Ben Jonson writes about his son,
Benjamin, who died on his seventh birthday of the plague. Thus the poem begins as you
might expect with the farewell to a dead son. The speaker regrets having forgotten that
the child was merely lent to him by God. He consoles himself with the thought that his
son is now free of the pains of living and of growing old. In the last lines, the
speaker offers an epitaph for his son, calling him "his best piece of
poetry":

Rest
in soft peace, and asked, say, "Here doth lie

Ben Jonson
his best piece of poetry;

For whose sake henceforth all his
vows be such

As what he loves may never like too
much."

He concludes with a
vow never again to "like too much" what he
loves.

Interestingly, the central ideas of death that are
presented in this poem are quite depressing. Jonson concludes that since all are to be
taken from him, he must hold himself back from loving "too much" so that when the
inevitable happens and death claims them, he is not so sad and grief-stricken as he was
with his son. Yet at the same time his comparison of his son with a poem suggests that
non of his work could ever be as wonderful as his son was to him, and indicates perhaps
a new perspective on life, showing Jonson that family is more important than his work.
Thus one of the central themes of this memorable poem to my mind is how we cope with
death and how it changes us. Jonson seems to recommend not loving "too much" in the
poem, yet at the same time his epigram suggests an emphasis on the family that clearly
indicates enjoying and loving them greatly, in spite of the fear of
death.

What is the significance of the way Amy Tan decided to organize the events in "The Rules of the Game"?

I think that when we consider the structure of this
excellent short story we need to focus on two elements that Tan uses to link the
structure in with her overall purpose of writing. Firstly, it is important to note the
way that the conflict between Waverly and her mother escalates throughout the story,
starting off as a small conflict about how Waverly exerts her power to get a small bag
of plums and ending up in a serious, full-blown conflict between them when Waverly
confronts her about the pride she takes in her chess
playing:

I
knew it was a mistake to say anything more, but I heard my voice speaking. "Why do you
have to usme to show off? If you want to show off, then why don't you learn to play
chess?"

Thus we are presented
structurally with a series of events that serve to notch up the tension each time,
before we arrive at the final conflict betwen
them.

Secondly, it is important to note how chess is used
as a motif structurally in the narrative. Having introduced it as a topic of conflict
between Waverly and her mother, the story ends with a cataclysmic chess match between
them in Waverly's imagination:

readability="9">

In my head, I saw a chessboard with sixty-four
black and white squares. Opposite me was my opponent, two angry black slits. She wore a
triumphant smile. "Strongest wind cannot be seen," she
said.

The way that the story
culminates in this mystical chess game supports and confirms the way that chess is
viewed as a much bigger and wider "game" that Waverly still needs to learn the rules of.
The final sentence leaves us with Waverly pondering her next move in the "game" that is
the conflict between her and her mother.

How have birth rates changed as a result of legalizing abortion?This is a question i need help with in my research essay on Abortion Controversies.

In order to answer this question, you are going to need to
think about a lot of factors -- it is not as easy as just looking at birth rate
statistics.

For example, according to this page (I can't
make it
link)

http://www.google.com/publicdata?ds=wb-wdi&met=sp_dyn_tfrt_in&idim=country:USA&dl=en&hl=en&q=fertility+rates+united+states

The
fertility rate in the United States is higher now than it was in 1973.  1973 was the
year that the Roe v. Wade decision was handed down, making abortion legal in all
states.  This rate is gotten by dividing the number of births by the number of women in
the US each year.  You can also see from the washingtonpost.com link that the birth
rates now are higher than they were in 1973.

However, there
are problems with this.  You can't just say that this proves abortion hasn't affected
birth rates.  You might need to find out how many women of childbearing age lived in the
US in each of these years.  What if you find that there are way more women of
childbearing age now and yet there are only a few more births per woman?  Then you might
think abortion had something to do with it.

The links I've
provided give you the basic statistics -- the birth rate is not down since Roe. 
However, you will have to think about why this might be -- you can't automatically say
abortion had no impact.

how is electricity produced in a 'battery' and 'dynamo'? (a couple of sentences for each please)

A battery is made from cells connected in series. Each
cell has a small voltage and a battery adds these
voltages.

Electricity is produced in an electrochemical
cell by chemical reactions that remove electrons from the +ve connection or cathode, and
transfer electrons to the -ve anode. If the anode and cathode are connected via a lamp,
ipod, etc then the cell does work. Be aware that conventional current flow is opposite
to direction of electron flow.

A dynamo is a mechanical
device that makes a conducting wire move in a magnetic field, or vice versa. When there
is relative motion between a conductor and a field a voltage is generated. As above if
the wire is connected to an external device work is done.

Prove the following identity: cos x + cos 2x + cos 3x = cos 2x(1 + 2cos x)

We'll remove the brackets from the right
side:

cos x + cos 2x + cos 3x = cos 2x + 2cos x*cos
2x

We'll eliminate the term cos
2x:

cos x + cos 3x = 2cos x*cos
2x

We'll write cos 2x = 2(cos x)^2 -
1

cos 3x = 4(cos x)^3 - 3cos
x

We'll substitute them in identity and we'll
get:

cos x +  4(cos x)^3 - 3cos x = 2cos x*[2(cos x)^2 -
1]

We'll combine like terms from left side and we'll remove
the brackets form the right side:

4(cos x)^3
- 2cos x = 4(cos x)^3 - 2cos x q.e.d.

The story begins with the invocation to the Muse. What is the purpose of this section in The Odyssey?thank you

If you are in 9th grade, I am assuming you are reading a
retelling of The Odyssey in your literature
book.

In that first section, Homer calls on the Muse of
epic poetry to help him tell the story of Odysseus. A muse is like an inspiring spirit
that can get into a person and help motivate them to do what it is they desire to do.
For Homer, it's tell a story in the form of poetry.

Here,
Homer reveals to us the purpose for telling his story, so that we can all know of the
great character Odysseus' traits and how he used them. He tried to get his men back to
their homeland, but the men did not always listen to their leader and this was their
downfall. Already, in the invocation, we are learning about what the storyline will look
like, what will ultimately happen to the men, and we learn a lesson - obeying authority
might be a handy tool in life.

Given f(x)=x^2-x and g(x)=ax+b what are a and b if fog=gof .

We'll compose the functions f and
g.

fog(x) = f(g(x)) = [g(x)]^2 -
g(x)

f(g(x)) = (ax+b)^2 - ax -
b

gof(x) = g(f(x)) = a*f(x) +
b

g(f(x)) = a*(x^2 - x) + b

To
determine a and b, we'll impose the constraint given by
enunciation:

fog=gof

(ax+b)^2
- ax - b = a*(x^2 - x) + b

We'll expand the square from the
left side and we'll remove the brackets from the right
side:

a^2*x^2 + 2axb + b^2 - ax - b = ax^2 - ax +
b

We'll move all terms to one
side:

x^2(a^2 - a) + x(2ab - a + a) + b^2 - 2b =
0

Comparing, we'll get:

a^2 -
a = 0

a(a-1) = 0

a = 0 and a-1
= 0 => a = 1

2ab  = 0 => b =
0

b^2 - 2b = 0

b(b - 2) =
0

b = 0 and b =
2

The possible values are: a = {0; 1} and b =
{0 ; 2}.

What kind of person has Eppie grown to be in Silas Marner? Cite evidence from the novel.

Being brought up by a single weaver living by himself on
the outskirts of the village and with no experience of bringing up children must have
been an interesting experience for Eppie, however when we are presented with the
grown-up Eppie of Book II of this great novel, it is clear that Silas Marner, aided by
Dolly Winthrop perhaps, has done a good job at bringing her up. Not only does Chapter 16
show that she is now a beautiful young woman, but that she is very selfless and
attentive to the needs of her father, Silas, as shown by her quickness in clearing away
the dinner things so that Silas can have his smoke. However, the text also gives us more
information as to the kind of woman she now is:

readability="14">

The tender and peculiar love with which Silas
had reared her in almost inseparable companionship with himself, aided by the seclusion
of their dwelling, had preserved her from the lowering influences of the village talk
and habits, and had kept her mind in that freshness which is sometimes falsely supposed
to be an invariable attribute of rusticity. Perfect love has a breath of poetry which
can exalt the relations of the least-instructed human beings; and this breath of poetry
had surrounded Eppie from the time when she had followed the bright gleam that beckoned
her to Silas's hearth: so that it is not surprising if, in other things besides her
delicate prettiness, she was not quite a common village maiden, but had a touch of
refinement and fervour which came from no other teaching than that of tenderly-nurtured
unvitiated feeling.

So, in
addition to her great beauty, Eppie's curious care arrangements have made her grow up
not as "rustic" as her peers would be, but being somewhat more
"refined."

What tie-in does Franklin's quote about how democracy is three animals voting have to current policy development?

I assume that you are talking about a quote that is often
attributed to Benjamin Franklin and which says that democracy is two wolves and a lamb
voting to decide what will be for lunch.  There is no evidence, however, that Franklin
actually said or wrote this saying.

Be that as it may, one
could argue that in today's United States democracy, you have the wolves (the people
with the money and influence) and the lambs (the people who do not have either).  You
can argue, for example, that the wolves get everything they want.  You could say that
this can be seen in the bailout of the big financial companies and of General Motors. 
You can argue that these "wolves" got what they wanted (ostensibly through democracy)
while regular people ended up getting stuck with the
bill.

If you are inclined to see things this way, these
"wolves" have gotten to eat the "lambs" and the lambs think that the decision was
fair.

What are some judgments and conclusions that Joe Keller can impact on readers of All My Sons?

Joe Keller's character causes readers to make several
judgments and draw a variety of conclusions.  For example, a reader could judge Joe's
decision to ship the faulty airplane parts as immoral because the decision ultimately
caused the death of many young pilots.  Rather than standing up to the pressure being
put on his business by the government, Joe decides to take a risk.  From this decision,
one might conclude that Joe feels comfortable taking such risks and believes that what
he considers a minor flaw will not have such a big impact.  Joe is a businessman, one
who must take risks of varying proportions on a daily
basis. 

Through Joe's character, Miller asks the reader to
analyze and evaluate priorities.  Joe feels an immediate responsibility to his family,
and he holds their well-being as a priority.  He wants his business to be successful so
that he can support his family and leave a legacy for his children.  However, this
decision led to the death of others.  Should Joe have felt a responsibility for unknown
men as well?  These types of judgments are left to the reader.

In Fahrenheit 451, what does Beatty say to Montag when he comes to visit?

When Beatty comes to visit Montag, he does so because he
imagines something is wrong with Montag. He anticipated Montag would be "sick."  When
Beatty arrives, he begins to tell Montag about the history of firemen. He tells Montag
that he understands and that every once in a while, a fireman will get curious and take
a book. He also lets Montag know that a book returned in 24 hours is done so with no
questions asked. He shares the 5 rules of firemen. Of most importance, Beatty tells
Montag about how the world has come to work correctly as a result of the firemen as this
truth plays out:

readability="7">

Not everyone is born free and equal, as the
Constitution says, but everyone is made
equal.

This
passage enables us to understand the dystopian nature of the society, and we react with
shock as Montag does. Montag tries to imagine how he can get out of his job for the rest
of his life. His gut instinct is to run because he feels something physically wrong with
what they do.

What is the difference between force and pressure?

The way I would explain it is that the two are closely
related but that pressure depends on how much of an area the force is being exerted
upon.

To find force, you have to know the mass of the
object and its acceleration.  Once you know that, you have the force because Force =
mass times acceleration.

To convert force into pressure,
you have to know how much of an area the force is acting upon.  Stated mathematically, P
= F/A where P is the pressure, F is the force, and A is the
area.

So the identical amount of force exerts a lot of
pressure on a small area or a little pressure on a large area.  This is why you wouldn't
want to sit on one nail but you could lie on a bed of nails.

Find the antiderivative of the function f(x)=(x+1)/(x^2+2x) .

We'll determine the indefinite integral of the given
function:

Int f(x)dx = Int
(x+1)dx/(x^2+2x)

We notice that if we'll differentiate the
denominator of the function, we'll get the numerator multiplied by
2.

We'll substitute the denominator by
t.

x^2+2x = t

We'll
differentiate both sides:

(2x + 2)dx =
dt

We'll divide by 2:

(x +
1)dx = dt/2

We'll re-write the integral in
t:

Int f(x)dx = Int dt/2t = (1/2)*ln |t| +
C

Int f(x)dx = (1/2)*ln |x^2+2x| +
C

Int f(x)dx = ln sqrt (x^2+2x) +
C

In The Pearl in Chapter 5 what does Kino mean when he says the pearl has become his soul?

This question goes to the very heart of this profound
novel as it explores the way that the pearl, which was hoped to have done so much good
for Kino and his family, actually becomes a symbol of man's greed and avarice, and
brings disaster and destruction to Kino. In this sad chapter, we see the pearl bringing
discord between Kino and Juana, Kino is attacked for the third time because of it and
kills a man to defend the pearl, Kino's canoe that he inherited from his ancestors is
destroyed and their house is ransacked and then burnt to the ground. As Juan Tomas
says:

"It is
the pearl... There is a devil in this pearl. You should have sold it and passed
on the devil. Perhaps you can still sell it and buy peace for
yourself."

However, as Kino
responds later on in this Chapter, it is clear that the significance of the pearl has
changed for him:

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"I have it," said Kino. "And I will keep it. I
might have given it as a gift, but now it is my misfortune and my life and I will keep
it." His eyes were hard and cruel and
bitter.

This is why the pearl
has become his "soul," because on the one hand the pearl has lost Kino so much that now
it is all he has left, and on the other hand he has lost himself to the pearl and to the
dreams of wealth that he has become a changed man, "cruel and bitter" and one whose eyes
light up when he touches the blade of a knife.

What was a land payment that the Spanish government gave to conquistadors.

The word that you are looking for is encomienda.  The
system of encomiendas fits pretty well with the definition that you have given
here.

In the encomienda system, the Spanish monarchy
rewarded the conquistadors for conquering new lands for Spain.  What they did was to
give the conquistadors the rights to the labor of a given number of Indians. 
Technically, the encomenderos (the men who were given the encomienda) did not actually
own the land.  The land technically still belonged to the Indians.  But the encomenderos
were given the right to force the Indians to work for them or to pay them tribute in
others forms.

So this was not technically a grant of land,
but the effect (while the system lasted) was much the same as if it were an outright
grant of land.

In A Farewell to Arms, how is Catherine Barkley a code hero?

This is an interesting question for two reasons:
Traditionally, Hemingway's heroes are male, and many reviewers interpret Catherine as an
undeveloped character in the novel, merely an idealized projection of male desire. Upon
closer examination, however, Catherine does share characteristics of the code hero.

Hemingway's code hero is a skilled professional; Catherine
is a nurse who is skilled in her profession. The code hero lives with courage in a
dangerous world; Catherine demonstrates courage when she and Frederic row across the
lake to escape into Switzerland, a very dangerous feat, and especially when she tries to
deliver their baby, finally realizing that she will die. The code hero lives in a random
universe, but chooses to control himself and endure; Catherine cannot control events
when she goes into labor, but she endures the pain with dignity until her death.

Catherine endures in other ways, as well. She experiences
the death of a fiance, faces great fear as an unmarried nurse when she learns she is
pregnant, and suffers enormously when Frederic leaves her to return to the war.
Throughout all of these trials, however, Catherine does not feel sorry for herself, and
she does not break. Like a code hero, she endures.

What evidence is there from the text that marks Spenser's The Faerie Queene as political allegory?

George Armstrong Wauchope, Ph.D. of South Carolina College
explains in his introductory remarks to Book I of Spenser's text in Gutenberg Project
that Book II is an allegory about "man's relationship to himself." He further points out
that in early time periods, a poet's sovereign ruler was an integral part of that theme
of man's relationship to man. It is in the opening lines of "The Legend of Sir Gvyon
(Gwyn)" preceding the first Canto of Book II that primary textual evidence for a
political allegory is found in that the Faerie Queene is expressly tied to the
allegorical presence of the political head of England, Queen Elizabeth.. [Remember also,
as Wauchope similarly points out, that poets in earlier eras were dependent upon the
financial patronage of royalty and nobility in order to have leisure to pursue their
masterpieces. Spenser was particularly in need of royal patronage since he did not come
from an independently wealthy family and earned his way through his schooling on what
may be called work-scholarships.]

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Right well I wote most mighty
Soueraine,
That all this famous antique history,
Of some
th'aboundance of an idle braine
Will iudged be, and painted
forgery,
Rather then matter of iust memory,
Sith none, that
breatheth liuing aire, does know,
Where is that happy land of
Faery,
Which I so much do vaunt, yet no where show,
But vouch
antiquities, which no body can know.

But let that man with better
sence aduize,
That of the world least part to vs is red:
And dayly
how through hardy enterprize,
Many great Regions are
discouered,
Which to late age were neuer mentioned.
Who euer heard
of th'Indian Peru?
Or who in venturous vessell measured
The Amazon
huge riuer now found trew?
Or fruitfullest Virginia who did euer
vew?

These two stanzas open
Book II of The Faerie Queene. The first line is addressed to "most
mighty Soueraine (Sovereign)." If that were all the textual evidence there was here to
connect the allegory to a political theme by a connection to the Sovereign, it might
conceivably be argued that the address was to a fantasy Queene who was part of the whole
fantasy Spenser was meticulously building. However, this view cannot hold up once you
read as far as lines 12 and 13 of the excerpt. These begin a passage that definitively
identifies the "Soueraine" of the opening line and enumerates some political enterprises
undertaken by the Faerie Queene. These lines read:

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And dayly how through hardy
enterprize,
Many great Regions are discouered,
....

Spenser is here
referring to Queen Elizabeth's "enterprize" in exploring and conquering many distant
lands in the navigational outflux that began discovering a whole world after Columbus
opened the possibilities. There remains no doubt that Queen Elizabeth's political
enterprise is precisely what Spenser refers to when the next lines reveal allusion to
Peru, the Amazon River, and Virginia. As a result of Spenser's specific mention of
things directly attributable to the reign of Queen Elizabeth, all textual doubt is
removed that Spenser is addressing anyone but the Queen whom he hopes to gain as a
friend and a patron. In so doing Spenser has established an unquestionable political
element to his allegory.

A hall charges $30 per person for a sports banquet when 120 people attend. For every 10 extra people that attend, the hall will decrease the price...

Let x be the number of people
attends.

Let the revenue be
y.

Let the initial revenue when 120 people attend is 30*120
= 3600

y= people attend *
price

y= (120+x)*(30-
1.5*(x/10)]

y=  (120+x) * ( 30 -
0.15x)

y= ( 3600 - 18x +30x -
0.15x^2)

==> y= -0.15x^2 +12x
+3600

Now we need to find the maximum
values.

First we will determine
y'.

==> y' = -0.3x
+12

Now we will find the critical
values.

==> -0.3x +12 =
0

==> -0.3x =
-12

==> x = -12/-0.3 =
40

The number of people that will maximize
the revenue is 40 plus the initial 120 people = 40+120 = 160
people

In The Merchant of Venice, who died: Lorenzo or Jessica?

Whilst I am convinced that actually both died eventually,
as all mankind does, I actually believe that you have made some mistake in your
comprehension of this play. During the course of the play as Shakespeare relates it to
us, neither of these characters dies. They certainly do both have massive changes in
terms of their role, as Jessica elopes with Lorenzo, leaving her father Shylock,
stealing his money and converting to Christianity, and the lovers take refuge on the
island of Belmont. However, at no stage does the play inform us that either character
dies during the course of the action of the play. They are one of the happy couples,
along with Bassanio and Portia, and Nerissa and Gratiano, that live to tell the tale of
this play and presumably live happily ever after.

What is the cultural conflict in Nadine Gordimer's "July's People"?

As with so much of Gordimer's works, the idea of culture
clash and conflict is a rich reservoir from which to excavate.  If there are specific
elements that you have to discuss, I would consult these in the process of developing
the paper.  I think that there is much in way of culture clash in examining how the
dynamic of the family changes once they flee with July to his village.  The idea of
apartheid having created an unnatural structure of power in South Africa is brought out
when we see Bam and Maureen actually victim to the same practices in the village.  Their
movement is limited, while the emotional stress caused by both political and personal
dynamics are heightened.  At the same time, there is an awkwardness in the relationships
between whites and blacks in a post- Apartheid South African setting because of the
power imbalance that had been embedded in its people.  One of the most startling
cultural developments would be how the "master/ slave" dialectic changes once Bam and
Maureen begin to live in the village.  This can even be seen on their children, who end
up "going native" more and losing the entitlement that being white in South Africa
carried.  The ending might be the saddest result of this culture clash, when Maureen
runs after the helicopter.  Gordimer's vision of South Africa after Apartheid is one
where the lines between savior and murderer is severely blurred.

Please explain the following quote from Chapter Two in Of Mice and Men."The old man was reassured. He had drawn a derogatory statement from...

The old man of this quote refers to Candy, who is the
first of the workers that George and Lennie meet as they enter the bunkhouse. What is
key to realise is that in this chapter Candy tries to work out if George and Lennie can
be trusted, and we witness a wary game as he reveals little bits of information about
himself and the working environment they have entered until he finally gets George to
make a "derogatory remark" about Curly, the boss's son, and thus feels that George can
be trusted and opens up some more.

Note how this reveals
that way that trust is absent so often between migrant workers. Not only are these
individuals isolated, but also, when they do meet others like themselves the law of
mistrust operates so much that they are very wary about each other. This quote is just
another way in which Steinbeck presents us with a cruel, grim and bleak world where, for
the majority of people, looking after yourself is the cardinal rule. George and Lennie's
attempt to break the mould by travelling together and caring for each other is the main
focus of the novel.

In Much Ado About Nothing, according to the stage directions for the dance, Don John is not masked during the revels. Why?Act II

This is a very shrewd question. Well done for noticing
this tiny detail! If you think about the context of the rest of the scene in Act II
scene 1, you can see that it is vital that the major actors are masked: only with this
disguise can the merriment of tricking Benedick and Beatrice go on. However, consider
what Don John is planning to do. It is vital that he is not mistaken for anybody else.
When he talks with Claudio it is important that Claudio knows that Don John is Don
Pedro's brother, thus guaranteeing the veracity of the scurrilous lie that Don John and
Borachio tell him regarding Don Pedro's intention of marrying
Hero.

However, aside from this, I think there is a further
distinction we can identify. There is an irony in that Don John, whilst not pretending
to be anyone else, symbolised by the mask, still has a "mask" on his face, but one of
deceit and treachery. This mask, unlike the others, will only be taken off towards the
end of the play. Therefore having him "unmasked" draws attention to this metaphorical
mask that hides his true intentions from the other characters.

Summarize the French revolution, include cause and effect, and the rise of Napoleon. In a paragraph compare the American and French...

Not sure I can meet your parameters, but I'll
try.

The French Revolution was the result of heavy taxation
of the French Third Estate, which included the important Bourgeoisie; and who had little
voice in government. The wars of Louis XIV had left France heavily in debt; and rather
than tax the First and Second Estates, Louis and his successors sold titles of nobility
which exempted the buyer and his heirs from paying taxes forever. This in turn created
an even greater burden on the peasantry.  Napoleon came to power because of the
volatility of the country following the Revolution. There was an attempt by other
European countries to restore the French monarchy, and widespread famine which led to
exorbitant prices for bread. A royalist rebellion was put down by Napoleon, after which
he was sent to Egypt to stop the British. Since his army was loyal primarily to him
alone, he was able to use it to gain power and name himself
Emperor.

The French and American Revolutions on the surface
were both fought over Enlightenment ideals, the basic rights of humans and the right of
people to change a government which did not protect those rights. The American
Revolution resulted in a stable government which has continued for over 200 years. The
French Revolution did not establish a stable government. There failure of the Revolution
led to the Reign of Terror, the Rise of Napoleon, the reinstitution of the monarchy, the
dictatorship of Napoleon III and over history, the institution of five separate
Republics.

How is pathetic fallacy used to paint a gloomy picture of how the creature comes to life?Frankenstein by Mary Shelley

Alone in his laboratory, Victor Frankenstein discovers the
secret to human life, "of bestowing a animation upon lifeless matter,"while at the same
time, his "eyes were insensible to the charms of nature." Thus, Victor has aspired, as
he admits, "to be greater than his nature will allow." 

In
pathetic fallacy, there is a sympathy of nature with the mood of a literary work.  In
Chapter V of Mary Shelley's Frankenstein, the creation of Victor's
being, the "animation upon lifeless matter" becomes a turbulent action as the electrical
storm generates energy into the new being. This turbulence then enters the soul of
Victor Frankenstein who is repulsed by the creature to whom he has imbued life.  In
fact, just as there is a storm outside, there is a maelstrom of emotions that course
through Victor who flees to his room, but expects "a spectre to stand in waiting" for
him when he arrives.  As he falls into an exhausted sleep, he also experiences a storm
of dreams that strike his mind with feelings of horror. When he awakens to the sight of
his creature smiling over him, Victor flees the rush of repulsion that he experiences,
and goes to the rainy courtyard where he paces for hours.  After he walks to the inn
where he encounters his dear friend Henry Clerval, Victor--spent from the turbulence of
the storm of his emotions, much like the violent weather--is spent; he collapses with a
nervous fever.

What made the narrator confess his crime in "The Tell-Tale Heart"?

"The Tell-Tale Heart" by Edgar Allen Poe of course
features an unreliable first person narrator who commits a crime that he feels compelled
to confess at the end of the tale.

We are presented with a
narrator who, in his own words, has suffered a disease which had sharpened his
senses:

Above
all was the sense of hearing acute. I heard all things in the heaven and in the earth. I
heard many things in hell. How, then, am I mad? Hearken! and observe how healthily--how
calmly I can tell you the whole
story.

Of course, the
narrator's inability to tell the story "calmly" suggests his lunacy. However, also note
the way that this heightened sense of hearing actually is what drives the narrator to
confess his crime. After killing the old man and stowing his body away under the
floorboards, the police come, and although the narrator tells us that he managed to
convince them that he had no involvement in the disappearance of the old man, he begins
to hear something that he cannot ignore:

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Yet the sounds increased--and what could I do? It
was a low, dull, quick sound--much such a sound as a watch makes when
enveloped in
cotton.

It is
hearing the "tell-tale heart" because of his acute hearing that forces the narrator to
confess his deed as he remains unable to ignore the loudening sound of his own guilt and
crime. Perhaps we can infer that what he is symbolically hearing is his own conscience,
forcing him to face the consequences of his actions, as it is only the narrator that
hears this sound. Either way, it is this sound that forces him to confess, shouting, "It
is the beating of his hideous heart!"

In the novel The Grapes of Wrath, what is the theme of the turtle vignette?

The theme of the turtle vignette is
endurance.

The turtle serves as an allegory of the
experience of the Joads and others like them. It is moving along the same road as the
rest of the displaced "Okies," away from the land devasted by drought, seeking survival.
Like its human counterparts, the turtle is battered by the elements, which makes him
look ragged and dirty - his back is "brown-gray, like the dust." Despite his
worn appearance, he retains his innocence and humanity; "the underside of the shell was
creamy yellow, clean and smooth." The turtle's journey is arduous, and he struggles
valiantly to maintain his equilibrium and keep moving forward, his hind feet
threshing mightily in the struggle to keep his front feet on the ground. His progress is
slow but dogged, and with his eyes trained unwaveringly on his destination, he will
prevail.

The obstacles encountered by the turtle are
unrelenting. He is tormented by a red ant which parallels the discomforts and hardships
of the road, but he manages to eliminate it, crushing it against himself. For short
times, the going finally seems "easy," and he "boost[s]" steadily along, but these times
are interrupted by challenges presented by the elements and by human beings, some of
whom, like the driver of the light truck who swerves to purposely hit it, oppress it
with malicious intent.

Through it all, the turtle, like the
Joads, endures. Sometimes, it seems as if it is beaten, like when it is spun "like a
tiddly-wink" by the wheel of the truck, but it always manages to get up again and
continue on its journey. As it struggles on, the turtle even plants a seed that will
later bloom without its knowledge; it carries a "wild oat" a distance and drops it later
on the way, unknowingly dragging dirt over it to cover it and let it germinate. The
turtle, like the Joads, will survive, and their legacy will extend beyond its natural
life into the future.

Describe Joe Keller from All My Sons as a father, husband, neighbour, and friend.

As a father, Joe Keller thinks that he is sacrificing all
that he has to be a strong provider for his sons.  He keeps the family business strong
so that he can pass it on to Chris and Larry once he is too old to manage it.  Joe tells
Chris that he this went through his head when he ordered Steve Deever to ship the faulty
machine parts--Joe did not want to risk having the business go under for failing to
comply with an order.  On the other hand, one could argue that Joe is not setting a good
example for his sons because he acts in an immoral fashion because he knowingly creates
a deadly situation for the pilots whose planes were equipped with the faulty
parts.

As a husband, Joe uses Kate as a support system.  He
expects that she will keep his secret, which she does, with little regard to her
loyalty.

Joe's neighbors regard him as friendly and
welcoming; however, they do not really trust him.  They are happy to keep his company,
but also hold him on the outskirts of their acquaintance.  Joe, on the other hand, feels
that the neighbors have accepted him as "innocent" and does not understand the inner
workings of the neighbors' true feelings about
him.

Finally, as a friend, Joe's concerns lie only on the
surface.  Steve is serving much time in prison because Joe has lied, and even though Joe
has promised both Steve and his son George a job with his company, nothing can make up
for the years that Steve has spent in prison on account of Joe's
lies.

Show that tan(i log a-ib/a+ib)=2ab/a^2-b^2

We have to prove that: tan [i*log (a-ib/a+ib)] = 2ab/(a^2
- b^2)

Start with denoting a + ib in the form r*( cos x + i
sin x)

Equate the real and complex components to get r*cos
x = a and r*sin x = b

tan x = sin x / cos x =
b/a

In the same notation a – ib = r( cos x – i*sin
x)

The left hand side of what we have to prove
is:

tan [i*log
(a-ib/a+ib)]

=> tan [ i*log (r( cos x – i*sin x)/
r*( cos x + i sin x))]

we can write cos x – i*sin x as
e^(-ix) and cos x + i*sin x as e^(ix)

=> tan[ i*log
(e^(-ix)/e^(ix))]

=> tan[ i*log
(e^(-2ix))]

=> tan[i (-2ix) log
e]

log e = 1

=> tan [
-2*i^2*x]

=> tan(
-2*-1*x)

=> tan
2x

expanding tan 2x

=>
2 tan x / 1 – (tan x)^2

=> [2*(b/a)] / [ 1 –
(b/a)^2]

=> 2ab / a^2 +
b^2

which is the right hand
side.

Therefore we prove that  tan [i*log
(a-ib/a+ib)] = 2ab/(a^2 -
b^2)

What are the key incidents in "The Masque of the Red Death"?

This classic short story by Edgar Allen Poe is not
actually that long, so it is well worth reading for yourself so you can gain a better
idea of what precisely happens. However, just to get you started, I will outline some of
the major events that occur to hopefully support you as you return to this story and
read it.

We are introduced to a supposedly medieval setting
which has been struck by a plague called the Red Death. In an attempt to escape this
terrifying disease, which is noted for the way in which victims expire blood as they
die, Prince Prospero and numerous courtiers have ensconsed themselves in a castle with
all the luxuries they need, with nobody allowed to enter or exit the place. In this
castle they dedicate themselves to luxury and decadence. One night in particular, an
elaborate masked ball is held where everyone is dressed in disguises. The setting is
quite spectacular, as there are seven rooms running from East to West, each with a
different colour. The last room is in black and has a clock that, every hour, chimes.
Few people go into this room for it is so terrifying, and when the clock chimes, people
stop their merriment for a moment. However, people become aware of a guest who is
dressed as a corpse who has been killed by the Red Death. Prospero, so angered by this,
pursues the guest through the rooms until, reaching the seventh, black, room, the guest
turns and confronts Prospero who dies immediately. The presence of the Red Death is
acknowledged, and all of the guests die, one by one. It is not so easy to escape death
after all, it appears.

How do the authors effectively create suspense, fear, tension in the ghost stories "The Signal-Man" by Dickens and "The Red Room" by H. G. Wells?

Dickens and  Wells use surprisingly similar literary
techniques in writing "The Signal-Man" and "The Red Room," respectively. As any skilled
author does, each begins in the opening paragraphs to build suspense, fear, and tension.
To establish suspense, Dickens and Wells both open in href="http://www.britannica.com/EBchecked/topic/284369/in-medias-res">medias
res, a Latin term meaning "in the midst of things." Both stories
are told from the point of view of a first person protagonist who is knee-deep, as they
say, is some unusual situation that isn't explained to us at all: Why is Dickens' hero
standing atop a sheer bluff and climbing down to a railroad track below? Why is Wells'
hero in a strange, seemingly remote inn operated by even stranger people and asking them
for occupancy of the Red Room? The narrator tells us precisely what is happening before
him at any moment with no explanation of what may have led up to it or precipitated or
provoked it. As a result, we begin the story with nothing but suspenseful
questions.

Suspense is enhanced by the ominousness of
having remarks, reactions, and behavior go unexplained as when Dickens writes there was
one reaction of "such expectation and watchfulness that I stopped a moment, wondering at
it," and as when Wells writes, "The three of them made me feel uncomfortable with their
... unfriendliness to me." Fear adds to this building suspense and is created by both
authors through vocabulary and description. Dickens and Wells both uses words with
negative overtones or unpleasant hints of danger along with gruesome or chilling
descriptions. In terms of vocabulary, Dickens writes,

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foreshortened and shadowed, down in the deep
trench,
steeped in the glow of an angry
sunset,

The vocabulary to
note consists of words like foreshortened, shadowed, deep trench, steeped,
angry sunset. The vocabulary that Wells uses is represented by words like
faint step, stick, shambling step, creaked in this
quote:

I heard
the faint sound of a stick and a shambling step on the flags in the passage outside. The
door creaked on it's hinges
....

Descriptions that add to
feelings of fear are ones such as Dickens uses to describe the setting down by the
track,

crooked
prolongation of this great
dungeon

and such as Wells
uses to describe one of the three people at the inn:

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lower lip, half averted, hung pale and pink from
his decaying yellow
teeth

Each author builds
tension through different techniques. One example is that Dickens uses
disassociation--as in ghostly disassociation from the bodily realm--in statements like:
"When he heard a voice thus calling to him." Writing “a voice” instead of “my voice’
disassociates the voice from anything human. In contrast, Wells uses ominous repetitions
that force attention to suspenseful points of the story such as those repeated lines in
the beginning of the story:

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"This night of all nights!" whispered the old
woman.
"It's your own choosing," said the man with the withered
arm.

"With the sleep of dreams comes nightmares" - Is this a Shakespeare quote and if so, which play is it from (the Act and Scene). Thanks.

This particular quote is not a direct quote from
Shakespeare.  The word "nightmare" only appears once in Shakespeare's plays and it is
not in a context anything like this quote.  (This is according to a couple of sites
where you can search all of Shakespeare's works at once.)

I
think that you may be thinking of a famous line that is from Shakespeare and has a
somewhat similar meaning.  It is from Hamlet's "to be or not to be" soliloquy in Act
III, Scene 1 of Hamlet.  In that passage, Hamlet
says

To sleep-
perchance to dream: ay, there's the rub!
For in that sleep of death what
dreams may come
When we have shuffled off this mortal
coil

That sort of means the
same thing -- if you dream, you may have nightmares.

Why was Europe industrialized faster than the other continents?

Pace of industrialization has varied in different regions
of the world at different periods. It is not as if pace of industrialization has been
always fastest in Europe. In pre-industrial revolution era the pace of development of
industrialization in Europe was not the fastest in the world. Also this has not remained
like that ever after. For example, there have been times when the growth of
industrialization has been higher in USA. Then In second half of twentieth century Japan
led the world in industrial growth. Even today the rate of growth of industries in
countries like China and India is higher than that in
Europe.

However, perhaps the question is referring to the
period when the rate of Industrialization was highest in Europe. This is the period of
industrial revolution. One of the major contributor to this is the political domination
of the world by Great Britain at that time which helped it to accumulate capital
required for its industries, and also provided market for its product. Presence of large
deposits of iron and coal also helped industrial growth of Great Britain. In addition It
had easy access to cheap raw material from its
colonies.

The growth of industry in Great Britain than
provided encouragement to other western European countries
also.

A second reason was the faster growth of science and
technology in western European countries during this period. This growth had slowed down
in countries that had earlier led the world in this field partly because of degeneration
of their social system and partly because of political domination of European
countries.

The social sustem such as the feudal system, and
the guild system also contributed to the development of industry in
Europe.

How do the acids and bases CH3COOH + NaOH, H2SO4 + KOH and NH3 + HBr react?

The chemicals you have provided are examples of an acid
reacting with a base.

An acid AH reacts with a base BOH to
give a salt AB and water if there is an excess of OH- and H+ ions which can react with
each other.

CH3COOH is an organic acid, it reacts with NaOH
in the following chemical reaction:

CH3COOH + NaOH
-> CH3COONa + H2O

H2SO4 is an acid and KOH is a
base. They react in the following chemical reaction:

H2SO4
+ 2KOH -> K2SO4 + 2H2O

In the reaction between NH3
and HBr there is no formation of H2O, only the salt is
formed.

NH3 + HBr -> NH4Br

In The Kite Runner, why does the visit with the pulmonologist became unsuccessful when Baba asks where he was from?

In chapter 12, Amir and Baba go to visit with the
pulmonologist, Dr. Schneider.  The meeting was going well until Baba wanted to know
where Dr. Schneider was from, then "lost it" when the doctor told him he was from Russia
- Baba threatened he'd break Dr. Schneider's arm if he tried to touch him and refused to
be a patient of a "Roussi".

This is, of course, in response
to Baba's deep-seeded hatred of Russia after they attacked his beloved homeland of
Afghanistan.  In the 1970's, Russia tried to invade Afghanistan, forcing many Afghans,
including Baba and Amir, to flee the country for their own
safety.

What is the lesson in the poem "The Tame Bird was in a Cage" by Rabindranath Tagore?

One of Tagore's lasting legacies to all of literature is
that he composed works where the "lesson" was not something entirely easy to grasp. 
There is little simple in his work.  The poem is question is a great example of this. 
If there can be a clear lesson pulled from it, there might be a statement being made
about the nature of the balance between dependence and independence.  The poem discusses
the fundamental challenge in any relationship where individuals have to step outside of
their own condition and absorb the reality of another.  In a setting where relationships
are predicated upon "equality" and "partnerships" of proportional share, this is quite
challenging. In the end, one of the birds will have to sacrifice their own condition in
the hopes of enjoying the shared love with the other.  Either the caged bird must risk
the outside world or the free bird must capitulate to living in the cage.  Tagore writes
for a world audience, and his ideas are ones that challenge both the "West"  and the
"East."  This would be one of those conditions that Tagore brings out where both
cultures would have challenges in trying to grasp his overall meaning.  In the end, the
lesson that emerges is that both birds, clinging to their own notion of the good, are
left to ponder only what could have been in a world of what is, where loneliness and
forlornness is the only condition.  In order to fully grasp what can be when two people
are in love, Tagore seems to be suggesting that some level of discomfort and risk to
sacrifice one's condition in the hopes of another is the only way to find happiness with
another.

Discuss the theme of the American Dream in Fitzgerald's The Great Gatsby and Miller's Death of Salesman?

Jay and Willy are linked in that both of them envision
dreams that are not rooted in anything substantive.  In the end, both protagonists end
up becoming crushed by the weight of their own dreams.  In both dreams, the role of
money is overwhelming.  Both Gatsby and Loman believe that the more acquisition of money
or material wealth, the closer they will be to establishing their dreams and finding
happiness.  What both fail to recognize is that there is a particular hollowness that
exists at the center of both sets of pursuit.  Willy wants to be something that is not
"a zero" and equates this with money.  Gatsby's pursuit of Daisy and a life where he is
"something" comes with the trappings of wealth.  In both pursuits, the American Dream is
perceived as one that ends up suffocating both because the definition of success and
happiness is linked to an external end such as money or social standing.  In both
dreams, the lack of an emotionally substantive end results in the protagonists'
undoing.  Finally, both protagonists operate in a social order that fails to fully
appreciate or validate the experiences of both characters, contributing to their belief
that an external end such as money or wealth is the only way to find some type of
salvation.  In both, this vision is denied.

Why did the Russian invasion of Afghanistan fail?

The Russian invasion of Afghanistan failed for many of the
same reasons  that the US war in Vietnam failed.  In both cases, the superpower
underestimated the difficulty of fighting against a guerrilla insurgency in difficult
terrain when that insurgency was highly motivated to
fight.

In Afghanistan, the resistance to the invasion was
fierce and highly motivated.  The resistance was motivated at least in part by religion,
which tends to give people a very strong incentive to fight hard and not give up.  The
Russians did not understand that the Afghans would be so strongly motivated and so they
did not understand how hard the war would be.

The Russians
also did not understand how unmotivated its own troops
would be.  This was partly because many of the Russian troops were Muslims from the
Central Asian part of what was then the Soviet Union.  These troops were not strongly
motivated to fight against fellow Muslims.

So the invasion
failed because it is hard to fight in Afghanistan, because the Afghan resistance was so
motivated, and because the Russian troops were not motivated.

From the epic Paradise Lost, what is Satan's main motive for tempting Adam and Eve to sin?

In the first part of Paradise Lost,
Satan finds himself in hell after the failure of his rebellion against God.  Miserable
that he has lost paradise, Satan is nevertheless unrepentant and prideful.  He utters
the often quoted lines:

readability="5">

Better to reign in Hell than serve in
Heaven.

He tells Beelzebub
his plan to regain the grounds he has lost.  They conspire to "wage by force or guile
eternal war" against their "grand Foe."  To do so, they spot the "dreary plain" earth,
and plan to go there to renew their forces and to thwart God's mission to bring forth
good.

"Our
labor must be to pervert that end,

And out of good still to
find means of means of
evil"

The temptation of Adam
and Eve is the result of this plan to create evil and to attempt to sabotage God's
design.

What are the differences between New Historicism and old Historicism?

As New Historicism emerged (via Foucault, Lacan,
Greenblatt, etc.) there was an increase in focus a general diversification of the canon
in efforts to acknowledge previous and current minority literature which had been
suppressed by the white western patriarchy.  Complementing this increase of the canon as
far as recognizing previously suppressed minority literature as elite classics; there
was also a growing interest in pop culture and so-called ‘low-brow’ literature and art.
This had nothing to do with the cultural diversification; it had to do with the change
in historicism where all texts (literary and non-literary) were considered ‘literature’
and products of their historical epoch. I mention the canonical inclusion of minority
literature and pop culture because they represent alternative literatures (to the elite
and the classics) and this was part of the transition from Old to New Historicism: the
recognition of alternative perspectives of history.

Old
historicism (which I would call pre-New Historicism) is similar to New H. in that the
idea is to investigate the historical, social, and cultural world of the author and that
these elements are always interconnected with the literature of their time period. Both
old and new historicists believe that texts cannot be separated from their historical
context.

New Historicism pays more attention to ideology,
power and is just more nuanced than its predecessor. With New H., the critic understands
that there is no objective history and that ideology plays a role in the work of the
critic and the author the critic is analyzing. So, if Foucault is doing an analysis of
The Tempest, he
would:

1)      Recognize
cultural, ideological, economic, etc. elements of Elizabethan England and how they
influenced Shakespeare; AND, he would note where/when Shakespeare was conscious and
unconscious of these elements in his work. He would note that Shakespeare’s work cannot
be completely boiled down to Elizabethan culture since history is not that simple.
So, Foucault can’t look at Shakespeare as an objective filter of his
historical context. He must investigate the historical context, the work and Shakespeare
as a subjective interpreter of his own historical period.

2)     
Foucault would also be conscious of his own subjectivity and historical
biases in his investigation of Shakespeare’s subjectivity and historical interpretation.

I think the biggest difference between Old
and New Historicism is that New takes a more subjective approach; more conscious of
history as interpretation on everyone’s part: author, historicist, historian,
etc.

What is the role of catharsis in Macbeth?I just need a few examples of it and how it relates to Macbeth as a story in general. thanks!

Another way in which many of the audience of Shakespeare's
Macbeth pity the tragic figure of Macbeth in his destructive
obsession with ambition.  When he is made Thane of Cawdor by King Duncan in Act I, he is
a hero, admired for his bravery and skill.  But, like so many, he becomes seduced by
ambition and the preternatural world as well, losing his integrity, his wife, and,
finally, his life.  The temptress of ambition takes from him the essence of his being as
a human, leaving him with a meaningless life.  Sadly, Macbeth realizes this in his
soliloquy in Act V as he speaks of life as

readability="13">

...a poor
player 

That struts and frets his hour upon the
stage

And then is heard no more.  It is a
tale

Told by an idiot, full of sound and
fury,

Signifying nothing
(5.5.24-28)

This condition of
the seductiveness of power is also one that is feared by people, for so often the
attainment of power leaves people empty as they have sold their souls to the other world
of evil, sacrificing much of their humanity as does Lady Macbeth in her life as "a
walking shadow." 

In Act IV, Scene 3, it is this very fear
of the evil of power and its effects that Malcolm exhibits in his distrust of the
motives of Macduff who has come to England to seek Malcolm's help in restoring the
rightful ruler to Scotland.  For, he wonders if Macduff is a paid agent of Macbeth; he
questions Macduff as a result and feigns corruption in himself in order to elicit
Macduff's true feelings.  When Macduff exclaims, "O, Scotland!" Malcolm realizes that
the man loves his country and is loyal, so he tell Macduff the truth about
himself.

Please provide details about the main character of Touching Spirit Bear by Ben Mikaelsen.

Fifteen-year-old Cole Matthews is the main character of
Ben Mikaelsen's novel Touching Spirit Bear. He is the protagonist
of the story, but for most of the novel he is busy antagonizing anyone he can, any
chance he gets. 

Matthews is a troubled boy whose parents
(who both have alcohol problems) are divorced and his father is abusive, prompting his
bad behavior. Though his home life is not ideal and his father is impossible to please,
the boy clearly makes his own bad choices which get him in serious trouble. He robs a
hardware store and gets caught; it is certainly not the first time he has been in
trouble, but it is the first time he has not been able to get out of
it.

The boy's next crime is murder; he nearly kills another
boy.

[A]fter
school, Cole cornered Peter outside in the parking lot. With anger that had been brewing
all day, he attacked him and started hitting him hard in the face with his bare fists.
Peter was no match, and soon Cole had pounded him bloody. A dozen students stood
watching. When Peter tried to escape, he tripped and fell to the ground Cole jumped on
him again and started smashing his head against the
sidewalk.

The only thing that
keeps Matthews from having to spend much time in prison is the belief two men have in
him and in a kind of healing process called Circle
Justice. 

Matthews is dropped off on an isolated,
uninhabited island in Alaska; he must stay there alone for one year. He is given basic
supplies and some help building shelter, but the rest is up to him. He lies, saying he
was ready to change, just to escape being locked up; once he is on the island, he
unsuccessfully tries to escape by swimming away.

The legend
of the Spirit Bear says that whatever anyone does to the white bear (or any of the
animals on the island) is what that person does to himself. If he chooses to, Matthews
can become a better person during his time on the island. The boy has several encounters
with the Spirit Bear, one of which nearly kills him. He is removed from the island so he
can heal, and Matthews determines to make a change.

He goes
back to the island after spending some time in prison and without the full use of his
right arm. While in prison, he learned how to release his anger in less destructive
ways. This time he goes to the island willingly and with a good attitude. He is sorry
for what he did and tries to make it up with Peter. Things change so dramatically that
he is able to make a kind of peace with Peter, the boy he nearly
killed. 

Compare and contrast Sonnet 18 and Sonnet 130.

In Sonnet 18, the speaker describes how the person he
addresses is more sweet, temperate and fair than the beauty he sees in nature. He even
notes how the sun is sometimes dim and how nature’s beauty is
sporadic.

And
often is his gold complexion dimm’d;

And every fair from
fair sometime declines,

The
speaker concludes that the beauty of the person he’s addressing is not so fleeting
because it will live as long as there are people to read this sonnet. His beloved’s
beauty last longer than nature because it is immortalized in verse. This lifts her to a
goddess-like status.

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So long as men can breathe or eyes can
see,

So long lives this and gives life to
thee.

In Sonnet 130, the
speaker takes an oppositional or ironic approach. He notes how his beloved does not
compare to the beauty he sees in nature. Music is more pleasing than her voice. Coral is
more red than her lips. The speaker is chastising other poets who describe the one they
love with exaggerations that are so over the top, they are “false
comparisons.”

readability="14">

My mistress, when she walks, treads on the
ground:

    And yet, by heaven, I think, my love as
rare

    As any she belied with false
compare.

The two sonnets are
similar in that they compare a loved one’s beauty to the beauty of nature. Sonnet 18 is
effusive and traditional. Her beauty is more impressive than nature and is immortal
through this verse. Sonnet 130 is ironic, satiric and literally more down to earth.
While many poets have described loved ones with goddess-like qualities, the speaker in
sonnet 130 is much more honest and practical. In fact, you could say that the speaker in
sonnet 130 is challenging speakers in other poems, like the one in sonnet 18. It’s like
he’s saying his loved one is just as rare and beautiful: he doesn’t need to make
exaggerated comparisons to prove it. Shakespeare shows his versatility and/or the
willingness to mock others and himself.