How to determine the indefinite integral of e^square rootx/square rootx (substitution or parts) ?

We'll integrate using substitution or we'll change the
variable. For this reason, we'll consider the
formula:

We'll note sqrtx =
t.

We'll differentiate both
sides:

dx/2sqrtx = dt

dx/sqrtx
= 2dt

We'll re-write the integral in
t:

Int e^t*2dt = 2e^t +
C

We'll substitute t by sqrt
x:

Int e^sqrtx*dx/sqrtx = 2e^sqrtx +
C

The indefinite integral is evaluated using substitution
and the result is:

Int e^sqrtx*dx/sqrtx =
2e^sqrtx + C

Can you explain lines 120-128 in "The Triumph of Life"?

This is, in essence, a dependent clause, which is
qualifying the independent clause in which it is contained.  What this means is that
these lines provide additional information about the greater context.  We need to look
at both.  

The lines describe those who are captives
marched on the metaphorical journey to Hell, much like Dante's
Inferno.  In fact, in this poem, Dante is the traveling observer.
The captives area those who have grown old seeking power (120-121), those who have died
young through their own actions or caused their own suffering (121-122), all those who
continually tried to be famous (125-127)  and basically everyone who would not follow
God ("the Conqueror") (127-128).

Now let's look at the
greater context: all of these people (the majority of all people) are basically
destroyed by the moving Chariot of Life.  This Chariot is driven by a shapeless being
who seems to draw all the types of people mentioned in the specific lines above to
follow him in a confused mass.  You might compare this to the story of the Pied Piper. 
Overall. only those who truly follow God are free from the Shape and the Chariot.  The
poem asserts that there are very few of these.

In "The Horse Dealer's Daughter," in what way does the opening scene help us to understand Mabel and the events that follow?

In this excellent short story by D. H. Lawrence, the
situation of Mabel is clearly indicated in the opening paragraphs. However, unlike her
three brothers, she has no real hope or chance of finding alternative employment at her
level, and looks either to face a future working as a menial servant or becoming
dependent upon the hospitality of others. Both of these are fates which we can
understand she would object to strongly, given her own independence. However, note how
their situation is described in the second paragraph:

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The three brothers and the sister sat round the
desolate breakfast-table, attempting some sort of desultory consultation. The morning's
post had given the final tap to the family fortunes, and all was over. The dreary
dining-room itself, with its heavy mahogany furniture, looked as if it were waiting to
be done away with.

Mabel is
thus a young woman without options and resources. It is clear that her brothers care
little about her fate and will offer her nothing. As an unmarried woman who has kept
house, she finds herself now cast off in the world, friendless and devoted to the memory
of a dead mother that, as we shall soon find out, she feels right that she joins. It is
only because of the desperate nature of her situation that she feels forced to engage in
such a path of self-destruction.

How does the writer convey the beauty of nature in "On the Grasshopper and Cricket" by John Keats?

This poem primarily conveys the beauty of nature by
evoking the rich sounds that form, in the words of the poem, "the poetry of earth." Note
hwo the poem can be divided into two sections, both of which start with an assertion
that "the poetry of earth" is "never dead" and "ceasing never." Each section focuses on
how the grasshopper and then the cricket both serve to contribute to this beauty of
nature whilst all other forms of nature are silent.

The
Grasshopper is "never done / With his delights" and "takes the lead / In summer luxury."
Whlst all birds are tired from the heat, the Grasshopper continues his sound, rejoicing
in the beauty of spring. The Cricket, likewise, seems to serve the same function as the
Grasshopper, but in winter. Even when the harshest frost has created silence, the
Cricket begins his song, "in warmth increasing ever." The Grasshopper and the Cricket
are thus presented as a pair, working together, the Cricket carrying on when the
Grasshopper leaves off, both ensuring that the "poetry of the earth" truly never
halts.

How is Victor Frankenstein intelligent, and what are some of his character traits?

In Frankenstein, Victor Frankenstein
is a scientific genius.  He masters the natural science of biology, anatomy, galvanism,
alchemy, electromagnetism, and natural philosophy.  He does what his professors only
dreamed of.

But, like many geniuses, he is a rogue; he has
no community.  His genius is the kind that is dangerous, rebellious, reckless, without
standards, or scientific ethics.  Victor suffers from hubris, extreme self-pride.  He
isolates himself from loved ones: friends, family, women, and
colleagues.

He is a kind of satanic
hero:

•“The Will become Satanic pride and
rebellious self-idolatry” •“to find in itself alone one absolute motive of action…”
•“outward Restlessness and whirling Activity; Violence with guile; Temerity and Cunning…
Interminableness of Object with perfect Indifference of Means.” •“COMMANDING GENIUS!” •
like Napoleon – “palliative admiration” •“Evil, be thou my
good!”

He is a kind of Byronic
hero:

•unusually handsome, or inextricably
attractive, often to both sexes •wounded or physically, disabled in some way •moody,
mysterious, and/or gloomy •passionate (both in terms of sexuality and deep emotions
generally) •remorse laden (for some unnamed sin, a hidden curse, or crime) •unrepentant
(despite remorse) •persecuted by fate •self-reliant (often rejecting people on both
physical and emotional levels) •is an admirable rebel (against convention, society,
religious doctrine) •has a distaste for society and social institutions •is isolated
(both physically and emotionally) from society (a wanderer, an exile) •is not impressed
by rank and privilege (though he may possess it) •is larger-than-life in his
ability--and his pride •suffers gloriously from titanic passions •tends to be
self-destructive

Who is Rosemary and why did she ask for release?

Rosemary was the last Receiver of Memory in training
before Jonas.  She was The Giver’s daughter as well.  The Receiver of Memory holds all
the memories for the community.  Rosemary entered training but only remained for a short
time.  The Giver tried to give her only positive memories because he did not want to
hurt her.  Unfortunately, it was necessary to give her memories of pain because that is
one of the responsibilities of The Receiver.

When Rosemary
first received memories of pain, she was not able to handle it.  She requested release
immediately.  She also chose to inject herself.  Rosemary committed suicide because she
did not want a life of pain.

Since Rosemary, Jonas and
Gabriel all have pale eyes, it is likely that they are all related, and the capacity to
see beyond is inherited.

Refer to lines 88-93 in Tintern Abbey by Wordsworth and explain the ideas of humanity, youth, experience and nature.

The lines that you are referencing come near the end of
the rather long poem and serve to sum up the thematic intention of the whole poem.  The
poems is about his traveling to visit the ruined Tintern Abbey with his sister.  In the
poem, the speaker reflects on this past experience at this place five years earlier and
how he "once against beholds these steep and lofty cliffs."  He goes on to list all of
the beautiful sights of the locale.  He tells us that in those intervening years he has
fondly remembered this place and the feelings that the place evoked and about the
inspiration that these memories have had.  He tells us that he stands here in the
present that he has "pleasing thoughts [and] that in this moment there is life and food
/ for future years."  All of these observations bring him to the moment of understanding
that is conveyed in lines 88-93. 

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For I have
learned

To look on nature, not as in the
hour

Of thoughtless youth; but hearing
oftentimes

The still, sad music of
humanity,

Nor harsh nor grating, though of ample
power

To chasten and
subdue. 

He is explaining
that he has learned of the power of nature to have long lasting effects on the
observer.  In youth, the observer may be 'thoughtless' because he is only caught up in
the moment.  But the memory of the experience in nature can speak to the observer in
surprising ways.  Here he says that nature can both enliven and subdue with its
multifaceted messages.  These moments and inspirations help the observer of nature to
actually better understand human nature.  He becomes enlightened.  As the poem continues
after these lines, he elaborates his point and concludes this section of the poem with
the thought that he will always be a "lover of the meadows and the woods" and all of
nature because nature will always have a power over him. 

In nature
and the language of the sense

The anchor of my purest
thoughts, the nurse,

The guide, the guardian of my heart,
and soul

Of all my moral
being. 

This incredibly lyric
poem is such a remarkable tribute to the Romantic idea of the power of nature on the
human soul.  Wordsworth discusses what seems to be his personal growth from youth to
maturity in regards to his appreciation of the power of nature.  As he speaks to his
sister in the last section of the poem, he is speaking to his audience as
well.

What is the conception of honesty as is seen The Adventures of Huckleberry Finn?For examlpe when Huck admits to telling a "Stretcher".

Huck considers right and wrong throughout the story.  He
actually begins by discussing lying, saying, “I never seen anybody but lied one time or
another.”  He is trying to determine for himself what is moral and immoral.  In chapter
28, Huck considers that the truth may sometimes actually be easier than a
lie:

 I says to myself, I reckon a body that ups and tells
the truth when he is in a tight place is taking considerable many resks, though I ain't
had no experience, and can't say for certain; but it looks so to me, anyway; and yet
here's a case where I'm blest if it don't look to me like the truth is better and actuly
SAFER than a lie.

He ends up deciding that it is ok to lie
sometimes.  He comes to the conclusion that it is better to do what he personally thinks
is right than to do what society thinks is right.  Huck thinks that society's rules are
hypocritical, which is why he decides to help Jim, and he and Tom do their “evasion” to
protect him.  When Huck says, "All right, then, I'll go to hell," he is determined to
make his own morality, and not society’s.

What phrase does Gatsby repeatedly use to address Nick and others?

Two or three effects arise from Gatsby's use of the words,
"old sport," in The Great Gatsby." 

In addition to Gatsby possibly attempting to
appear British or high class, Gatsby also appears to use the phrase to endear himself to
others.  It is a phrase that Gatsby uses to show acceptance of others.  It shows he
accepts others.

At the same time, however, the words, "old
sport," probably reflect Gatsby's inneptness at social contact.  The words can be a bit
annoying.  He uses it for people that consider themselves his friends, but he also uses
it for people who do not consider themselves his friend--most notably, Tom, who throws
it back in his face.  It seems to be something Gatsby says that is awkward and overused,
and he uses it with mixed success.

Finally, the words
suggest a lack of sincerity on Gatsby's part.  And this perception of the words is
accurate.  When it comes to anyone accept Daisy, and possibly Nick, Gatsby is insincere
in his friendship.  He is obsessed and consumed by his illusion of Daisy and of their
relationship.  And he cares little for anything else.

In Act 1, what imagery does Iago use to describe Othello and Desdemona's elopement, and what conflict does that imagery develop?

In Othello, Iago very cleverly uses
much emotional imagery to evoke an emotional response from Desdemona's father Brabantio
regarding her elopement.   The images are as
follow:

• Thief and Crime
  Imagery:

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Awake! what, ho,
Brabantio! thieves! thieves!
thieves!
Look to your
house, your
daughter and your
bags!
Thieves!
thieves!

AND

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'Zounds, sir,
you're
robb'd

• Sexual,
  Religious, Animal, and Racial
  Imagery(combined):

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for
shame, put
on
your
gown;
Your heart is
burst, you have lost
half your soul;
Even now, now, very now,
an old black
ram
Is
topping your white ewe. Arise,
arise;
Awake the snorting citizens with the
bell,
Or else the
devil will make a
grandsire of
you:
Arise, I
say.

AND

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'Zounds, sir,
you are one of those that will
not
serve
God, if the devil bid you. Because we come
to
do you service and you think we are ruffians,
you'll
have your daughter
covered with a Barbary horse;
you'll have
your nephews neigh to you; you'll
have
coursers
for cousins and gennets for
germans.

This
last line translated is, "you'd have your daughter covered with a African horse; you'd
have your nephews neigh to you; you'd have chargers for cousins and small Spanish horses
for Germans."

In short, Iago synthesizes all the imagery
together (sexual, religious, animal, racial, criminal) to bombard Brabantio and inflame
his rage.  Iago wants Brabantio to start a fight with the Moor, to annul the marriage,
to prosecute and court- marshall him.  Iago knows that Brabantio is paranoid and racist
about his daughter seeing Othello, who is much older, black, and a former-Muslim.  Iago
plays upon the fears of the European male of the time: that a black man is a sexual
predator out to seduce and steal his white woman and that a black man is superior to a
white man in bed.

How many 2 inch cubes can be placed completely placed inside a box that is 8 inches long, 2 inches wide, and 6 inches tall?Please show all work.

We see that the dimensions of the box are 8 inches * 2
inches * 6 inches. All the three sides are multiples of 2. So it is possible to fill the
entire volume of the box with 2-inch cubes without leaving any space
unoccupied.

To determine the number of cubes that can be
placed we need to find the volume of the box which is

8*2*6
= 96 inch^3

The volume of one cube is 2*2*2 = 8
inch^3

The number of cubes that can be placed
is 96/8 = 12.

What does "Absolutism" mean?Please define the term and explain why and how it is represented in a news article or a news story, the key is to make...

Absolutism has many different meanings. Absolute truth can
mean a fact that is as close to objective Truth that we can get within a particular
framework. Two plus two equals four.

But Absolute truth is
also used by proponents of certain ideologies who claim that the tenets of their
philosophy are absolute truths. This is certainly more subjective and fallible than a
logical Absolute truth like “two plus two equals four.”

In
moral, religious and philosophical contexts, an Absolute means something that is
universally true. Again, this depends on who is making the claim and within which
theoretical framework it is. Christians and Muslims may not agree on many truths, but
there are some which they would both agree with. Each system of belief has its own
absolute truths. So, other than logical propositions, like equations and a priori
truths, most so-called Absolute truths are ideological and
subjective.

If you see absolutist in a news article,
chances are it refers to absolutist rule. This concept developed in 17th century France,
but you still see examples of it today. Any place where there is strong or absolute
control by a dictator or government body, it may be called Absolutist. Those who believe
that their ideology is the best and that all others are so inferior that they need to be
eradicated are fundamentalists. An Absolutist government/dictator often, but not
always, operates under a fundamentalist philosophy.

But
strictly speaking, in political contexts, an Absolutist authority has total control.
Here, absolute means "total" or "complete."

In
philosophical contexts, an Absolute is something so perfectly true that it transcends
all categories and is true universally. It is true everywhere. Again, this depends on
who is saying it and for what reasons. So, someone might call something an absolute
truth to support their own philosophy or they might claim absolute rule because they
believe their system of rule is the best.

Describe Elizabeth Bennet's character in Pride and Prejudice.

Elizabeth Bennet's first distinctive quality is her
self-pride. She is a woman well-aware that she does not come from the best of all
families, accepts the fact that her sister Lydia is silly and lose, and admits to her
own mother's obnoxious behavior. Yet, she keeps her head high and accepts the flaws of
others the way she accepts her own.

She can also be
described as courageous. This is part of her self-pride. She does not let anyone push
her around, and she was very strong when she confronts Lady Catherine, Miss Bingley, and
Mr. Darcy. She speaks her mind and says what she has to
say.

This means that she is also outspoken.  However, she
also encourages Darcy to speak just so she can have a meaningful conversation with him.
It is her outspoken nature that both gets her in trouble and garners her praise, for
when she speaks her mind, Darcy is able to understood
her.

Lastly, Elizabeth is caring and loyal. She is caring
because she is careful not to cause her father undue pain and in that way that she
worries about the way her younger sister Lydia has caused to suffer. Elizabeth does her
best at not complicating life for anyone. Finally, she is loyal because she places the
happiness of Jane, her sister, even above her own. She thrives on Jane's success with
Bingley and seems more interested in Jane's well-being more than her own chances at
marriage.

What are the differences between a dhow, a caravel, and a junk?

A dhow is a traditional sailing vessel used by Arab
countries.  It typically had one or more lateen sails.  "Lateen sails are triangular
sails set on a long yard mounted at an angle on the mast, and running in a fore-and-aft
direction."  These sailing vessels are still used today to carry cargo around coastal
areas.

A caravel is a sailing vessel utilized by the
Portuguese to carry cargo.  It typically had two or three lateen sails (which are
mentioned above).  They were agile and easy to navigate.  They were used for oceanic
exploration.

A junk is a traditional Chinese sailing
vessel.  It was utilized to sail the oceans and for distance. It's sails have rigid
members that span the width of the sail and extend the sail forward of the
mast.

children watch to much television ? in essay form or points

Too much television can certainly be harmful to a child's
intellectual development.

Before a child enters school it
recommended that they watch no more than 1-2 hours of television a day. Watching too
much television takes away from parental interaction, exploring, playing, and learning
how to socialize.

When children reach school age too much
television interferes with homework, reading, and spending time with the family. They
are also getting less physical activity which can lead to
obesity.

There are positive aspects about television such
as nature and wildlife programs and current events.

One of
the biggest problems with television is violence. If children watch too much television
it can teach aggressive behavior in addition to things such as smoking, drinking,
etc.

The important thing to remember is that television
needs to be monitored both for time spent watching it and
content.

In Act 4, what does Macbeth do that seems to ensure his tragic downfall?

Actually, his tragic downfall began when he murdered
Duncan.

In Act IV, scene 1, he consults with the witches
who have been instructed by Hecate to mislead him because he interfered with the
predictions by killing Banquo and attempting to kill Fleance.  This they do by filling
him with over-confidence.

In Act IV, scene 2, since he
cannot get Macduff, he trys to neutralize him by killing his wife and children.  This
action is perhaps the most heinous of all.

Act IV, scene 3,
seems to seal Macbeth's fate when Macduff goes to Malcolm and offers his services.  With
the help of the English king, Malcolm is able to raise an army and invade Scotland to
take his rightful place as king.

All these actions lead to
Macbeth's eventual downfall.

Victors obession with natural science results in two years passing with no visits home how would you evalute his character at this...

In his obsession with natural science, Victor Frankenstein
becomes absorbed in a dangerous realm.  For, to surpass what is natural is to venture
into the desires reminiscent of Satan's in Paradise Lost in which
he dreams of the new world to be created which he may make his own.  Also, like the
fallen angel in his desires, Victor is not content with the results "promised by the
modern professors"; rather, he desires what "the masters of science" have--immortality
and power.

This absorption of Victor into his insatiable
desire to learn the wonders of science to the exclusion of his loved ones points to the
unnaturalness of scienfific pursuit that the Romantics felt, for they were believers in
intuition, the beauty and value of human friendships, and in the importance of family
and loved ones. Moreover, Victor's obsession with natural science to the exclusion of
personal relationships foreshadows the tragic events of Shelley's
narrative.

What might be a good thesis statement for Krik? Krak! "Caroline's Wedding"?What was Danticat's purpose in presenting Hatians and Haiti as she did?

Critics explain Danticat's explorations in "Caroline's
Wedding" as a look into the integration of ancient Haitian ways with modern ways of
American society. She does this by contrasting Caroline's courtship and upcoming
marriage to Ma's memories of her Haitian courtship and, later, her reluctant confessions
about her marriage. With Grace acting the role of mediator of the two points of
view--Haitian and Western-American--Danticat blends the two cultural realities,
highlighting the strong and weak of each until Ma and Caroline develop a genuine
comprehension of each other's sense of perception.

A
possible thesis addressing Danticat's purpose in presenting the culture of Haiti in the
way she does might focus on Danticat's personal perception that individual perception
isn't adequate or sufficient enough to serve as a lens through which to understand the
truth about major events and milestones of life. In other words, varying perceptions
need to be blended to build a multifaceted perception of life's moments of
importance.

Solve the equation fof(x)=0 Where f(x)=1/(x^2+x)

(fof)(x) = f(f(x))

We'll
substitute x by f(x) and we'll get:

f(f(x)) =
1/[f^2(x)+f(x)]

f(f(x)) = 1/[1/(x^2+x)^2 +
1/(x^2+x)]

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

We'll put f(f(x)) =
0:

(x^2+x)^2/(1 + x + x^2) =
0

Since the denominator is always positive, we'll put the
numerator as zero:

(x^2+x)^2 =
(x^2+x)(x^2+x)

(x^2+x)^2 =
0

(x^2+x)(x^2+x) = 0

We'll
factorize by x both brackets:

x*x(x+1)(x+1) =
0

x1 = 0 and x2 =
0

x + 1 =
0

x3 = -1 and x4 =
-1

The solutions of the
equation (fof)(x) = 0 are {-1 ; 0}.

How does setting contribute to the story?

Place and story are closely integrated in "Araby." The
alleyway, the busy commercial street, the open door of Mangan’s house, the room in back
where the priest died, the way to school—all are parts of the locations that shape the
life and consciousness of the narrator. Before the narrator goes to Araby, it is his
thoughts about this exotic, mysterious location that crystallize for him his adoration
of Mangan’s sister, who is somehow locked into an "Eastern enchantment" (paragraph 12)
of devotion and unfulfilled love. At the story’s end the lights are out, the place is
closing down, and the narrator recognizes Araby as a symbol of his own lack of reality
and unreachable hopes. Seemingly, all his aims are dashed by his adolescent lack of
power and by the drunken and passive-aggressive uncle.

What is the theme of the poem ''To a waterfowl?''The reason I ask is because I was asked myself to explain how archaic words support the theme of...

Bryant could have a couple different themes in this poem.
I think the strongest theme that you could support with archaic words would be in
reference to religion. The first mention of God or a "higher being" would be in these
lines:

"There
is a Power whose care Teaches thy way along that pathless coast,-- The desert and
illimitable air,-- Lone wandering, but not
lost."

Like the bird, he too
is alone in the world trying to find his way. He needs guidance as well--just as the
bird needs help finding his way along the coast to wherever he is heading. But the key
in this stanza is the last line. He and the bird are both alone, wandering, but they are
not lost. They do have a Power that is guiding them safely through their lives. Bryant
ends with assurance that he will have support when he needs it, just as the bird had
guidance. This ending gives both the reader and the author/speaker confidence that all
will be fine if he follows his guidance.

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"He, who, from zone to zone, Guides through the
boundless sky thy certain flight, In the long way that I must tread alone, Will lead my
steps aright"

In William Golding's Lord of the Flies: Why are the following considered symbols: conch, Piggy, Jack, the island? Explain.

William Golding's novel, Lord of the
Flies, has been approached critically in differing ways.  One such way is the
psychoanalytical approach, particularly that of Sigmund Freud. According to Freud, gods
and devils are basically human processes projected onto the human world.  Thus,
according to critic Claire Rosenfield, Ralph represents a projection of man's good
impulses, from which people derive authority figures, and Jack, on the contrary,
represents the evil, instinctual forces of the
unconscious.

Working with this dichotomy, Piggy, who is
associated with Ralph represents the rational side of man, the mature man of society who
has an acceptance of rules and order.  As such, he looks older with his thinning hair,
myopic eyes that need glasses, and heavy body.  It is Piggy who suggests using the conch
to call the boys to order when they need to meet and discuss important
issues: 

How
can you expect to be rescued if you don't put first things first and act
proper? 

The conch is much
like the gavel that is used by judges who call the court to order.  Near the end of
Golding's narrative, the conch crashes against the rock, "that token of preposterous
time," symbolizing the end of an societal order on the island.  Also, according to
Rosenfield, Piggy, a father figure, is also a symbol of the degeneration of boys from
adults to animalistic savages when he, too, is dashed against the large, sharp rocks and
the conch

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exploded into a thousand white fragments and
ceased to exist....Piggy fell forty feet....Then the sea breathed again in a long, slow
sigh, the water boiled white and pink over the rock; and when it went, sucking back
again, the body of Piggy was
gone.

Because Golding based
his narrative upon the Victorian novel, Coral Island, in which boys
were stranded on an island, but were able to fight the natives there and be victorious
over savagery, the island is used in Lord of the Flies without any
natives to represent a type of Garden of Eden so that Golding can demonstrate that man,
on his own, releases his savage impulses when the controls of society are not present;
and, these savage impulses symbolized in the character of Jack, and his sadistic
counterpart, Roger, "who carried death in his hands."

In "The Devil in the White City," to what extent is technology inadequate to the challenge the psychopathology of Holmes?

The Devil in the White City certainly
presents an ironic juxtaposition of the best and worst mankind has to offer nearly side
by side at the World's Fair in Chicago. It is ironic that the Fair celebrates the most
advanced technologies in the world, yet none of them were able to prevent or even
discover the horrific murders committed by Dr. Holmes until late in his killing spree.
In fact, the murderer's use of technology in many ways rivaled that which was exhibited
at the Fair. His experiments with death and dying were technology used for nefarious
purposes, but they were certainly effective. Today, of course, technology would probably
have caught and convicted Holmes much earlier in his homicidal activity. "To what
extent" is always difficult to measure; however, it is clear that technology was unable
to challenge Holmes in a timely fashion, though it was used to eventually expose his
heinous acts.

What are some effects Jamie had on Landon in "A Walk To Remember"?In the book Landon is completely transformed through his relationship with...

To put it simply, Landon was a huge punk before he met
Jamie.  He was concerned mainly with cheap and easy thrills and being popular, things
that came easily to him because he was talented and smart and good
looking.

Through his relationship with Jamie, he learned to
appreciate much bigger things and much smaller ones.  Things like really caring for
people and thinking about how one's actions affect other people and in many ways how to
be a good person.  Jamie has completely changed Landon's outlook on life and on what is
important, as evidenced by the fact that he would marry her knowing she hasn't very long
to live.

what is b in the following series. b, -3 , 4b, -12 if it is a G.P.

Given the series:

b, -3, 4b ,
-12 .

Let r be the common
difference.

Then we know
that:

-3 =
b*r................(1)

4b =
b*r^2.............(2)

-12 =
b*r^3.................(3)

First we will rewrite
(3).

-12 = br*r^2

But, from
(1), we know that  b*r = -3

==> -12 =
-3*r^2

==> r^2 = -12/-3 =
4

==> r1 = 2 ==> br= -3 ==> 2b=-3
==> b1= -3/2

==>
r2= -2 ==> br = -3 ==> -2b = -3 ==>  b2 =
3/2

==> -3/2, -3, -6 ,
-12  are terms of a G.P where r =
2

==> 3/2 , -3, 6,
-12    are terms of a G.P where r= -2

What is the opinion of Menelaus of Odysseus in The Odyssey?

It is in Book Four of The Odyssey
when Telemachus visits Menelaus and his wife, Helen, whom he has taken back from Troy
after the end of the battle. Telemachus is of course hunting news of his father at the
urging of the goddess Athena, and therefore hopes to find some concrete information
about his father's whereabouts from Menelaus.

Remember that
Menelaus and Odysseus fought on the same side against Troy. It is clear that Menelaus
feels great respect and esteem for Odysseus. He recalls the time when Odysseus saved the
Greeks whilst they were in the horse. Helen had come to the horse to try and tempt the
hidden Greeks into calling out by mimicking the voices of their wives. They would have
succumbed to this temptation if it were not for Odysseus who kept them focussed through
his charisma and leadership.

Therefore, although Menelaus
does not have any information regarding the whereabouts of Odysseus, we can infer from
his memories of Odysseus that he has great respect for Telemachus'
father.

When I decide to make my son become a doctor, can I say to him "You shall become a doctor"?In both “You shall go to the ball” and "You shall...

To address your initial query: Yes, you may. You may say
to your child, "You shall do ...." You have the power to influence and
control events and circumstances because you are a parent and therefore
may say "You shall." Remember that in past eras, even into
the early twentieth century, it was quite common for educated people to regularly say,
"You shall" even though in contemporary English usage "shall" is suggested as restricted
to "I shall" and "We shall." Usage of "you shall" in contemporary English currently
depends upon the circumstances and the speaker: the speaker of "You shall" has some
power to influence and control circumstances and the outcome of events.
Remember though, time changes usage of vocabulary since in
earlier eras, "they shall," "you shall," "he shall," and "she shall" were as common as
"they will," “she will,” “he will,” and “you will,” are
today.

One problem you're having in sorting this out is
that when trying to understand the meaning of one modal verb, for instance "shall," you
substitute another modal verb in the paraphrase, for example, as in your statements:
“‘You shall …’ means kind of ‘something ... will...’ and ‘must happen’ is like ‘You
shall ....’” This confuses the attempt to understand because each modal has a
specialized meaning: Modals cannot be substituted for each other in
paraphrases that are intended to facilitate learning the specialized
meaning of one particular modal verb. [Bear in mind that
sometimes language is used loosely, without due attention to the meanings of modals and
that, therefore, some people advocate that "they all mean same thing and can be used
interchangeably." While this may be true for some people in everyday, commonplace usage,
such a "one size fits all" attitude is not applicable at this moment to you and your
questions.]

Substituting one modal for another confuses the
issue of understanding them. Let’s consider “must.”
Must indicates necessity
and obligation. By way of illustration, South African public buses carry
signs that say "You must not smoke." The government has imposed the necessity of not
smoking. The public riding on the bus has the obligation to comply and not smoke. How
does this compare to "shall"? Shall
indicates that the speaker has the power to influence and control events. Government
exerted it's authority and says, "None shall smoke on buses." Then government says, "I
shall impose a necessity. Make a sign that tells the public 'You must not smoke.'" The
government further says, "The public now have an obligation. They must not smoke." How
does "will" become involved in this story?
Will indicates freedom to decide,
choose, and act according to one's own volition. The public exerts it right to to choose
what it will do.  The story continues: "What will he decide to do? He will choose to
honor his obligation and not smoke since government has imposed a necessity.
"

You can see each modal has a very particular meaning and
particular implications. You can also see, that while trying to comprehend the
particulars of their meaning and usage, they can not be substituted one for the other
because none means precisely the same thing: "must" indicates that a person has imposed
a necessity that another person has an
obligation to fulfill; "shall" indicates the speaker has
the power to influence or control events or circumstances;
"will" indicates a person has the power of their own
volition to decide, choose, and act.

(sinx-xcosx)/(xsinx+cosx)

(sinx-xcosx)/(xsinx+cosx)
.

No specific question as to what is to be done with the
above ratio.

To find the value of the expression as a
ratio, we need to put x=some angle and evaluate the
ratio.

The expression is already in a form and does not
require any simplification.

The limit of the expression at
pi/2 is 2/pi

The limit of the expression when x=0, is zero
clearly.

You can ask for any further help related with
this.

What means "Separation" and refers to the division of India in 1947 into 2 countries, India and east and west Pakistan?

Partition is the experience being described.  I would say
that one of the best works to actually read on this topic would be Salman Rushdie's
"Midnight's Children," which recounts the challenges in Partition.  Essentially, when
the British began to realize that their hold on India was slipping, it was involved in a
problem.  After occupying the nation for so long, it had done a good job in repressing
the individual identities and cultural heterogeneity that had defined the people of the
Indian subcontinent.  They realized that the could not simply "leave" and expect "India"
to the be the same nation that they had governed for so long.  At the same time, Indian
politicians began to recognize that as the British left, a void of leadership was
created into which they could easily enter.  The politics of declaring and fighting for
independence for India became vastly different in ruling and controlling it.  In the
end, typical political horse trading ended up creating a Muslim majority in Pakistan and
Bangladesh with the predominant Hindu majority in the new India.  Certainly, as this
solution might have been presented in a simple manner, it was far from simple as the
exact social reality of Partition took a great toll on the new nations being
formed.

Isolation can be frightening because it can distort one's sense of reality and potentially lead to devastation. How does this theme apply to the...

Beyond Harrison's personal isolation, the ordinary members
of society were isolated (via governmental techniques of physical, mental, and aesthetic
equalizers) from any sense of humanity.  By creating a nation in which all people were
equal--and, thus, "ordinary"--the government eradicated any sense of individualism.  The
government did this because they believed that differences between people would cause
society to become disjointed and unmanageable.  Out of this fear, the government
attempted to rid itself of such isolation (as mentioned above, through equalizing all
citizens).  This method backfired, however, as it created a civilization that was
completely stagnant.  Without individualism, the society lacked the ability to progress
and evolve; it became a mere illusion of utopia (hence, the distorted sense of reality)
at a stand still.  Devastation inevitably arrived with the revolt led by Harrison and
his consequent murder by Diana Moon Glampers.

How to find the intersection of the line y=x+3 with the ellipse (x^2/9) + (y^2/4)=1?

We know that the intersection of the graphs consists of
the common points of the graphs, these common points being found by solving the
equations of the graphs, simultaneously.

In our case, we'll
substitute in the equation of the ellipse, the unknown y, by the expression from the
equation of the line.

(x^2/9) +
[(x+3)^2/4]=1

The common denominator of the 2 ratios is 36,
so we'll multiply the first ratio by 4 and the second, by
9.

4x^2 + 9(x+3)^2=36

4x^2 +
9x^2 + 54x + 81 - 36 = 0

13x^2 + 54x + 45 =
0

Now we'll use the formula of the quadratic equations for
finding the solutions.

x1 = [-54+sqrt(54^2 -
4*13*45)]/2*13

x1 = (-54 + sqrt(2916 -
2340))/26

x1 = (-54 +
sqrt(576))/26

x1 =
(-54+24)/26

x1 = -30/26

x1 =
-15/13, so y1 = x1+3 = -15/13 + 3 = 24/13

x2 =
(-54-24)/26

x2 = -78/26

x2 =
-3, so y2 = -3+3=0

So, the intersection points
are:

(-15/13, 24/13) and  (-3,0)

ONLY CHAPTER 5,Explain how Curley's wife could be considered a dreamer and loner?

Curley’s wife is a loner as she is the only woman on the
ranch. She does not have any one to confide in and has been misled in her past. She is
convinced that her mother stole her letter from the film producer, and is cruelly
deluded by the man at the dance hall with regard to her future in film. Whether she
truly believes she ‘could’a been in pitchers’, she is certainly aware that her life
could have been much better than it is, and reveals her true dislike for her husband.

Like Crooks, Curley’s wife finds Lennie fascinating as she
can reveal her innermost thoughts in his presence without being judged or
derided.

 Curley’s wife dreams as much about her past as
her future – she reflects nostalgically on the meeting with the ‘film producer’ and the
life that she could have had.

Does Beowulf support or disprove the idea that both Beowulf and Grendel are primarily motivated by pride?It has been said that, although...

The text does support this idea. First of all,
Beowulf is an epic poem and Beowulf is an epic hero in the
tradition of the genre. He is strong and courageous, fighting for the benefit of others;
however, he is also motivated by pride--the desire to achieve greatness, to bring glory
to his people, and to have his name endure throughout history. In an epic hero, pride is
not a negative trait; it is one of his essential characteristics. The intent of the epic
poem itself is to tell the exploits of the hero, like Beowulf, and keep his name alive
among his people.

Beowulf leaves his home and crosses the
sea to battle Grendel not only to save Hrothgar's people, but to achieve glory. His
words to Hrothgar are revealing:

readability="13">

I have come so far . . . that this one favor you
should not refuse me--that I, alone and with the help of my men, may purge all evil from
this hall. I have heard, too, that the monster's scorn of men is so great that he needs
no weapons and fears none. Nor will I . . . my hands alone shall fight for me, struggle
for life against the
monster.

To achieve the
greatest glory, Beowulf seeks the greatest danger--to fight Grendel with his bare
hands.

Grendel's role in the poem is deeply symbolic. He is
the personification of evil itself, a monster born of monsters who had been born of Cain
and banished by God to be punished forever. Grendel is a"sin-stained demon." In his
characterization, pride becomes a sin, an expression of selfish will. Grendel destroys
for the love of destruction, to exercise his will over the Danes. Just as Cain's killing
Abel was an act of selfish will, Grendel's actions are those of sinful pride. He takes
delight in being vicious, preying upon the sleeping Danes in
Herot.

Grendel and Beowulf both can be interpreted as
acting out of pride, but certainly not in the same way. Beowulf takes pride in his
strength and courage, choosing to defend goodness against evil. Grendel takes pride in
bringing darkness to Herot, once a place of light, fellowship, and
security.

Define B. F. Skinner's Operant Conditioning.

B.F. Skinner's operant conditioning is an intervention
that is mostly used to achieve a behavior. The term "operant" indicates that the process
by which we will achieve the behavior is through actions and practices in a sequence or
a pattern. The "conditioning" refers to the expected changes that will take
place.

The basic components of operant conditioning
are:

a) Reinforcement- This is the process by which one
gives feedback, or incentives after the behavior that we want to achieve occurs. An
example would be giving a dog a treat after the dog responds to a command that we want
it to do. What reinforcement does is that it motivates the individual (or, in this case,
the dog) to continue doing what we want it to do. The reinforcement is not always given
at the same rate. In Skinner's theory the reinforcement should be given at different
intervals so that the behavior does not become extinct. Once the behavior remains
consistent it can be considered a "habit".

b) Punishment-
This is the opposite of reinforcement. As you may already assume, when you punish
someone you are giving a consequence that produces discomfort to the individual in order
for a certain behavior to stop. Punishment comes in many ways and it can be verbal
(stern talk, scolding), physical (actual contact with the intention of causing pain), or
psychological (saying something detrimental). Punishment could lead to many different
outcomes depending on how it is applied.

c) Extinction-
When there is no consequence, reinforcement or punishment following a behavior, Skinner
argues that the behavior will slowly end. This is why it is called "extinction". The
basic premise here is that behavior has to be motivated for it to occur. An example
would be a student that does excellent work in the classroom yet his or her efforts are
ignored by the teacher.

Skinner would argue that it is
likely that the student will not feel like taking the extra effort anymore and will
eventually quit working hard altogether.

When we try for
someone to do certain things, or behave in a certain way, reinforcement and punishment
are the likely options that may lead to achieving the behavior. Contrastingly,
extinction should be used with care making sure that we do not end up extinguishing a
good behavior instead of a bad behavior.

Explain the relationship between Minerva and Dede Mirabal in In the Time of the Butterflies.

If you look back carefully at Chapter Five of this amazing
novel, you can see that the animosity that exists between Dede and Minerva has its roots
in the conflict they have over a man. When Virgilio Morales first enters the lives of
the sisters, both Minerva and Dede are attracted to him. However, it is Minerva who
makes the first move and Dede is left with her cousin, who has already been making
overtures towards her. It is Dede's sense of jealousy and also her confusion about the
realities of living in a police state that cause conflict between her and Minerva.
However, what finally cements their animosity is when Virgilio is forced to leave the
country and he delivers a letter to Minerva asking her to flee the country with him.
Although Dede is entrusted with this letter, she burns it, convincing herself that she
is acting in her sister's best interest. A careful reading of the text, however, would
indicate otherwise:

readability="13">

The paper lit up. Ashes fluttered like moths,
and Dede ground them to dust on the floor. She had taken care of the problem, and that
was that. Looking up at the mirror, she was surprised by the wild look on her face. The
ring on her finger flashed a feverish reminder. She brushed her hair up into a tight
ponytail and put on her nightgown. Having blown out the light, she slept fitfully,
holding her pillow like a man in her
arms.

We can see by the "wild
look" in her face and the way she cuddles the pillow to her in her sleep that this is an
act borne out of jealousy. Not having the opportunity to be with Virgilio herself, she
cannot bear to let her sister have that opportunity.

Thus
the seeds of the conflict are sown, and throughout the rest of the novel Dede becomes
increasingly exasperated about Minerva's willingness to become involved in the rebel
movement.

How does the generic approach help in understanding a literary text?

Your question is good, but the phrasing struck me as a
little odd at first. "Generic" is a word, of course, and it's clearly an adjective form
of the word "genre" (which, as you know, refers to the standard classifications of
literature into categories such as tragedy and comedy or epic poem and lyric poem), but
for some reason, I prefer this phrasing of the question: "How does the genre approach
help in understanding a literary text?"

No matter how we
phrase it, the question is good. One way in which this approach helps up understand a
literary works is that it encourages us to look closely at the ways in which a specific
literary work conforms to or works against literary conventions. As explained in the
cuny.edu link given below, literary works were often judged favorably when they
conformed to the conventions and unfavorably when they failed to do the
same:

From
the Renaissance through most of the eighteenth century, for example, [critics] often
attempted to judge a text according to what they thought of as the fixed "laws of kind,"
insisting upon purity, that is, fidelity to type. Thus the placement of comic episodes
in otherwise predominantly serious works was frowned upon, and hybrid forms like
tragicomedy were dismissed. There was also a tendency to rank the genres in a hierarchy,
usually with epic or tragedy at the top, and shorter forms, such as the epigram and the
subdivisions of the lyric, at the
bottom.

Critics
today, of course, are more likely to appreciate the blending of forms or traditions and
the outright challenge to strict definitions of genres. In film, for example, the line
between cartoon and serious film is being blurred, as is the line between film and video
game.

How do Mendel's ideas about the inheritance of traits relate to Darwin's theory of evolution by natural selection?

Biology was dogged for nearly thirty years by this
problem. There was a rift between 'evolutionists' and 'geneticists', because the former
claimed that mendelian variation (like yellow/green peas, blood types, etc.) was
irrelevant for natural selection, and the latter argued that one would have to adapt
evolutionary reasoning to mendel's laws (in the best case, but usually the 'geneticists'
were by then fixists, that is, they denied
evolution).

Ronald Fisher, Sewall Wright and John Haldane
developed between 1918 and 1932 the mathematical basis for understanding evolution based
on the mendelian laws of inheritance. Population genetics became the basis for what was
called the Modern Synthesis and settled the above described
dispute.

Any of their work is a bit hard to read, but
instead of diverting to "popular" simplifications that do more harm than good, I would
suggest reading the introductory chapters of the classical books they (and Motoo Kimura,
another great developer of evolutionary theory) have written.

Given the points A(-2,5) and B(4,7)determine the middle point of AB.

We'll begin by recalling the midpoint
formula:

M = (xM ; yM)

xM =
(x1 + x2)/2

yM =
(y1+y2)/2

x1,x2,y1,y2 are the coordinates of the given
points A and B. Since the coordinates are added, it doesn't matter which point is the
first one, whose coordinates are x1 and y1, and which point is the second
one.

We'll identify x1 = -2, x2 = 4, y1 = 5 and y2 =
7

Now, we'll calculate the coordinates of the
midpoint:

xM = (-2+4)/2

xM =
1

yM = (5+7)/2

yM =
6

The coordinates of the midpoint M of the
segment AB are: M(1 ; 6).

The length of a rectangular field is 12m more than width.The value of its area= 4 times the value of its perimeter. Find dimensions of the field.

We have to find the length of a rectangular given that the
length is 12m more than the width and the numeric value of the area is four times that
of the perimeter.

Let the length be L adn the width be
W

The perimeter is 2*(L +
W)

The area is L*W

The length
is 12m more than the width, L = W + 12

Area  = W*(W + 12) =
4* 2*(W + 12 + W)

=> W^2 + 12W = 8*(2W +
12)

=> W^2 + 12W = 16W +
96

=> W^2 - 4W - 96 =
0

=> W^2 - 12W + 8W - 96 =
0

=> W(W - 12) + 8(W - 12) =
0

=> W = 12 or -8

The
width cannot be negative, so we take width = 12

The length
= 12 + 12 = 24

The dimensions of the
rectangle are 12m W by 24m L.

What does the poem gain by apostrophe?

Poets use apostrophe so the speaker can address an
abstract idea, quality, imaginary person or non-human object. This is a kind of extended
personification because the speaker supposes that the idea or object he’s speaking to
actually understands him. In this poem, the speaker is promoting a “seize the day”
approach to life. He is frustrated that the object of his affection is wasting time,
either by rejecting his advances or because of
shyness.

Using apostrophe, addressing a rose, implies that
the speaker is literally not with this woman. He and she are detached. He could have
spoken directly to her or been thinking these things in her presence. Since he is asking
a rose to speak to her, we know that they are apart. This use of apostrophe in this poem
is supported by lines which indicate they are currently separated and that he wishes
they were together.

readability="11">

Tell her that’s
young,

And shuns to have her graces
spied,

That hadst thou
sprung,

In deserts where no men
abide,

Thou must have uncommended
died.

He asks the rose to
tell that a rose in a water-less desert with no men to care for it will die
“uncommended” (unloved or unnoticed). The speaker wants the woman to forget her shyness
and accept his love. Thereby, she will be noticed, loved and “commended.” The use of
apostrophe illustrates the current separation between the speaker and the woman he
loves.

Imagine you have two glasses. One contains a solution of carbonic acid the other contains a solution of sulfuric acid.Without any other...

Carbonic acid is a weak acid that is essentially carbon
dioxide. The sulfuric acid is much stronger and is a strong acid. The sulfuric acid is
much more corrosive as it has a stronger pH. The carbonic acid is found in soda pop and
other carbonated beverages. The pH is variable depending on its ability to join with
water. Sulfuric acid is not found naturally within the environment, therefore, it would
have to have a carrier molecule such as water. The only way to determine the real pH of
sulfuric acid would be by dissociation, involving complex chemistry and mathematical log
rhythms.

What is the Main Conflict in Little Women?

In the book Little Women Mrs. Marsh's
husband is away at war and the family must depend on help and live very poorly.  The
girl's are very helpful and get along pretty well.  They put on plays and engage in fun
activities with one another.

The main conflict that I see
is that the girls are having difficulty socializing when they are poor.  Some others may
identify the conflict as being, the family having to move in and be under
the support of an aunt due to the husband's being sent off to
war.

The book has a lot of little conflicts
and resolutions through out which makes it interesting.

In "The Ones Who Walk Away from Omelas," how is religion, economic or social class addressed in this story to develop a character's identity?I...

With respect, I think you are slightly mistaken in your
conclusions about this story. You are right in thinking that there are two groups of
characters that are presented: those who stay, and those who decide to walk away from
Omelas, the obvious subject of the story as indicated by the title. Yet, it is clear
that they do not choose to leave because of any problem with class. It is made clear
that those who choose to leave are not from any specific social grouping. Rather, those
who leave appear to be reacting to a gut response that protests against the treatment of
the child who is the source of the happiness of Omelas. This story is therefore not much
about class. Rather, in this story the author is presenting us with an extreme moral
dilemma. Is happiness for the many justified by extreme suffering and punishment for one
individual? Note how the text posits this conundrum:

readability="11">

If the child were brought up into the sunlight
out of the vile place, if it were cleaned and fed and comforted, that would be a good
thing, indeed; but if it were done, in that day and hour all the propserity and beauty
and delight of Omelas would wither and be
destroyed.

Thus the two
groups of characters who are referred to are those who hide and ignore there feelings of
injustice and focus on "the greater good," and those who just are unable to accept such
a Faustian pact, and are compelled, by moral forces beyond their control, to leave the
city as an act of protest, in search of a better world which tries to attain happiness
for all, rather than happiness for most at the expense of the
one.

What is the dramatic importance of Act III, scene 1, with Rosencrantz and Guildenstern?

The short passages in Act 3.1 of Shakespeare's
Hamlet that concern Ros. and Guil. deal with their reporting to
Polonius and Gertrude what they were able to find out from Hamlet about why he is acting
"mad."  They were able to find out nothing.

The scene
repeats the theme of acting and spying and
pretending--that's what the two friends have been doing during their interactions with
Hamlet.  Pretending to be only his friends, they are acting on the king's behalf, trying
to get information out of Hamlet.  Together with Polonius and Ophelia, these two try to
manipulate Hamlet and gleen information from him, while pretending to be other than what
they are.

The scene also establishes Ros. and Guil. as
instruments of futility (characterization).  They may or
may not be fools, but they are unsuccessful in their spying, and later they will
certainly be treated like fools by Hamlet--payback for their trying to play
him. 

Hamlet's love for art is established, possibly, in
his feeling "a kind of joy" at the news of the players' arrival.  But, more importantly,
we see in his eagerness for the king and queen to see the coming performance, that he is
already thinking of his plot to catch Claudius's reaction to the play, and thereby prove
Claudius's innocence or guilt.  Thus, this scene furthers the
plot.

Ironically, if the scene
creates atmosphere, it is an atmosphere of futility and
irony.  Not only are Ros. and Guil. ineffectual, but so is Claudius.  Though he is
powerful and capable, he has met his match in Hamlet.  Not only is Hamlet's plan to
pretend to be mad working--the king is wasting an awfully lot of time trying to figure
Hamlet's madness out--but Hamlet is setting Claudius up with the "play within the
play."  Claudius thinks he is playing a cat-and-mouse game with Hamlet, and he is:  the
only problem for Claudius is that Hamlet is the cat.    

I need a few quotes describing why Boo Radley gave the children the three gifts.

No one knows why Boo Radley left the gifts in the knothole
for Jem and Scout, but perhaps Scout explained it best in Chapter 31. It was because Boo
was "our neighbor."

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    Neighbors bring food with death and flowers
with sickness and little things in between. Boo was our neighbor. He gave us two soap
dolls, a broken watch and chain, a pair of good-luck pennies, and our lives. But
neighbors give in return. We never put back into the tree what we took out of it: we had
given him nothing, and it made me
sad.

Scout's great wish
finally comes true when she sees Boo for the first time. He had "sickly white hands that
had never seen the sun... His face was as white as his hands... His cheeks were thin to
hollowness... his grey eyes were so colorless I thought he was blind. His hair was dead
and thin..." (Chapter
29)

How has inflation influenced our lives?i need an essay of about 250 words on the topic kindly help me as i am having my exam tomorrow.THE TOPIC...

Of course, none of us can write this for you since we are
not in your family and do not know your family.  Therefore, we cannot know what effects
of inflation your family has felt.  What we can do is to discuss some typical effects of
inflation -- you will need to see if any of these have affected your
family.

The most common impact of inflation is that it
makes it harder for people to buy goods.  Typically, prices will rise and wages will not
rise fast enough to keep pace.  For a while, at least, a family will see that the things
that they need to buy are getting more expensive while their income is not increasing. 
This is the most common impact of inflation and is the one that is most easily noticed
on a day to day basis.

Inflation can also hurt people who
have lent money.  The money the receive when the loan is paid back is not worth as much
as the money that was lent.  However, this is much harder for anyone to actually
notice.

So, if I were you, I would try to find out what
prices of things your family uses (especially food and fuel) have gone up recently. 
Then you should compare that to the wages or other income of whoever in your family
makes money.  You would need to see if the prices are going up more quickly than the
income.  If so, try to find out what changes your family has been having to make --
eating different foods, cutting back on certain types of consumption, things like
that.

How can Othello and Iago be seen as contrasting characters in Act 1 of Othello?I already have jealousy and race but is there more to it?

Othello and Iago have several elements to their characters
that indicate contrast. Iago is forthright to the audience in telling us of his
deceptive nature:

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 I am not what I am (I.
1)

In contrast Othello
believes that his deeds indicate his nature, as he says in Act I scene ii with regard to
the charges brought by Brabanitio for stealing his daughter
Desdemona:

‘My
services, which I have done the signiory

Shall out-tongue
his complaints. (I. ii)

Iago
judges all to be as deceptive and corrupt as himself, claiming both Cassio and Othello
have slept with his wife. However, he also says that Othello is much more trusting than
himself:

The
moor is of a free and open nature

That thinks men honest
that but seem to be so; (I
iii)

Othello on the other
hand believes faithfully in the good of others, most dangerously
Iago:

….my
ancient;

 A man he is of honesty and trust (I
iii)

Based on the first week's readings, how will you use your knowledge of economics to enhance your prospects for success after you graduate?

In the first week of an economics course, you typically
read about the very basics of economics -- things like scarcity and opportunity costs. 
The idea of opportunity costs is one that could help you in anything you do.  So is the
idea of marginal analysis (which you may or may not have gotten to in one
week).

The idea of opportunity cost is the idea that
anything you do makes you unable to do some other thing (anything else that you could
have done with the time and resources you put into doing whatever it was you did). 
Understanding this will help you understand how necessary it is to prioritize your work
and other things in your life.

Marginal analysis is closely
related to this.  It is when you analyze what you might do then ask whether the benefits
outweigh the costs.  This is something that is always valuable to you as
well.

What are the three laws of logarithms?

There are many laws of logarithms, I do not know which
three you are referring you.

Here are a few laws that are
commonly used:

log(a*b) = log a + log b, used while
multiplying numbers

log(a/b) = log a - log b, used while
dividing numbers

log(a^n) = n*log a, used to find the power
of a number

log(a) b = [log(c) b] / [log(c) a], used to
change the base of the log from a to c

log(b) a = 1/ log(a)
b

log(a) a = 1

ENERGY CONSUMPTION AROUND THE HOUSE!!!urjent!!!!suggest ways in which heat that flows in or out of the house can be minimized. To answer this...

Estimating Appliance and Home Electronic
Energy Use

If you're trying to decide
whether to invest in a more energy-efficient appliance or you'd like to determine your
electricity loads, you may want to estimate appliance energy
consumption.

Formula for Estimating Energy
Consumption

You can use this formula to
estimate an appliance's energy use:

(Wattage × Hours Used
Per Day ÷ 1000 = Daily Kilowatt-hour (kWh) consumption

(1
kilowatt (kW) = 1,000 Watts)

Multiply this by the number of
days you use the appliance during the year for the annual consumption. You can then
calculate the annual cost to run an appliance by multiplying the kWh per year by your
local utility's rate per kWh
consumed.

Wattage

You
can usually find the wattage of most appliances stamped on the bottom or back of the
appliance, or on its nameplate. The wattage listed is the maximum power drawn by the
appliance. Since many appliances have a range of settings (for example, the volume on a
radio), the actual amount of power consumed depends on the setting used at any one
time.

If the wattage is not listed on the appliance, you
can still estimate it by finding the current draw (in amperes) and multiplying that by
the voltage used by the appliance. Most appliances in the United States use 120 volts.
Larger appliances, such as clothes dryers and electric cooktops, use 240 volts. The
amperes might be stamped on the unit in place of the wattage. If not, find a clamp-on
ammeter—an electrician's tool that clamps around one of the two wires on the
appliance—to measure the current flowing through it. You can obtain this type of ammeter
in stores that sell electrical and electronic equipment. Take a reading while the device
is running.

Typical Wattages of Various
Appliances

Here are some examples of the
range of nameplate wattages for various household
appliances:

·     Aquarium = 50–1210
Watts

·     Clock radio =
10

·     Coffee maker =
900–1200

·     Clothes washer =
350–500

·     Clothes dryer =
1800–5000

·     Dishwasher = 1200–2400 (using the drying
feature greatly increases energy consumption)

·    
Dehumidifier = 785

·     Electric blanket-
Single/Double = 60 / 100

·     Fans

o  Ceiling = 65–175

o  Window
= 55–250

o  Furnace = 750

o 
Whole house = 240–750

·     Hair dryer =
1200–1875

·     Heater (portable) =
750–1500

·     Clothes iron =
1000–1800

·     Microwave oven =
750–1100

·     Personal computer

o  CPU - awake / asleep = 120 / 30 or
less

o  Monitor - awake / asleep = 150 / 30 or
less

o  Laptop = 50

·    
Radio (stereo) = 70–400

·    
Refrigerator (frost-free, 16 cubic feet) =
725

·     Televisions (color)

o  19" = 65–110

o  27" =
113

o  36" = 133

o  53"-61"
Projection = 170

o  Flat screen =
120

·     Toaster =
800–1400

·     Toaster oven =
1225

·     VCR/DVD = 17–21 /
20–25

·     Vacuum cleaner =
1000–1440

·     Water heater (40
gallon) = 4500–5500

·     Water pump
(deep well) = 250–1100

·     Water
bed (with heater, no cover) = 120–380

Find all the zeros of the function f(x)=x^2-8x-9

We have to find the zeros of the function f(x) = x^2 - 8x
- 9

For this we equate f(x) to 0 and solve the quadratic
equation that is obtained.

f(x) =
0

=> x^2 - 8x - 9 =
0

=> x^2 - 9x + x - 9 =
0

=> x(x - 9) +1(x - 9) =
0

=> (x - 9)(x + 1) =
0

for x - 9 = 0 , we have x =
9

for x + 1 = 0, we have x =
-1

The requires zeros are x = -1 and x =
9

How to determine all real values of a if the equation 2lg(x-1)=lg(ax-3) has a single real solution?

Before finding the value of "a", we'll impose the
constraints of existence of
logarithms:

x-1>0

x>1

ax-3>0

x>3/a

Now,
we'll solve the equation. For the beginning, we'll apply the power rule of
logarithms:

2lg(x-1)=lg(ax-3)

lg(x-1)^2
= lg(ax-3)

Since the bases are matching, we'll apply one to
one property of logarithms:

(x-1)^2 = ax -
3

We'll expand the square:

x^2
- 2x + 1 = ax - 3

We'll move all terms to one
side:

x^2 - x(2 + a) + 4 =
0

This equation has a single real root if delta is equal to
zero:

delta = (2+a)^2 -
16

We'll expand the square:

4
+ 4a + a^2 - 16 = 0

a^2 + 4a - 12 =
0

a1 = [-4+sqrt(16 + 48)]/2

a1
= (-4+8)/2

a1 = 2

a2 =
-12/2

a2 = -6

If a = 2, the
constraints of existence of logarithms are: x>1 and x>3/2, so the interval
of admissible solutions is (3/2 ; +infinite).

If a =
-6

x>1

x>-1/2

The
interval of admissible solutions is (1 ;
+infinite).

The values of a are: a = 2 and a
= -6.

In Mary Shelley's Frankenstein, how does the monster learn about history, which then causes him to weep?

In Mary Shelley's Franeknstein,
Felix's sweetheart, Safie (the "Arabian") arrives to stay with the DeLaceys due to the
tragic misadventure of her family. She does not have a command of the language, and so
Agatha teaches Safie, unknowingly teaching the creature as well. Not only does Agatha
teach the other woman about speaking the language, but also about letters for reading
(and writing). As the lessons continue, the creature learns more and
more.

However, the creature's understanding of the world
comes from Felix who reads Volney's Ruins of Empires. Through
Felix's careful explanations, the creature learns about, among other things, the
governments and religions of the empires of the past, including the Asiatics, the
Greeks, the Romans (and their decline), as well as the concept of "chivalry,
Christianity and kings."

readability="6">

I heard of the discovery of the American
hemisphere and wept with Safie over the hapless fate of its
original inhabitants.

As
Felix reads on, the creature learns about humanity:

readability="16">

These wonderful narrations inspired me with
strange feelings. Was man, indeed, at once so powerful, so virtuous, and magnificent,
yet so vicious and base?...For a long time I could not conceive how one man could go
forth to murder his fellow, or even why there were laws and governments; but when I
heard details of vice and bloodshed, my wonder ceased, and I turned away with disgust
and loathing.

The very
knowledge that so inspires the creature as he learns from the DeLaceys, and again with
Safie during her lessons, soon gives way to a clearer insight of the world
beyond the walls of the cottage. Whereas the creature had
originally seen mankind as wonderful and superior, he now sees its true face, and is
horrified, ironically, much the same way that humans are horrified not by his
actions, but simply by his appearance. One begins to
question: who is the true monster in the novel, an idea that will continue until its
conclusion.

Write an equation, of the slope intercept form, of the line passing through the points (2 , 3) and (4 , 6).

The equation of the line passing through the points (x1 ,
y1) and (x2 , y2) is given by ( y - y1) = [( y2 - y1)/ ( x2 - x1)] * ( x -
x1)

We have to find the line passing through ( 2 , 3) and (
4, 6). Substituting the values given we get:

y - 3 = [( 6 -
3) / (4 - 2)] * ( x - 2)

=> y - 3 = (3/2)* ( x -
2)

=> y - 3 = (3/2)x -
3

=> y = (3/2)x; slope 3/2, intercept
0.

What reasons, other than racism, were behind the creation of the Jim Crow laws in the South?Which were real the reason for the creation of Jim...

There is no question that racism and white supremacy
were the major causes of the Jim Crow laws in the South. 
No other causes were nearly as important as racism.

If you
have to try to say that other causes were important, you could point to anger at the
North after the Civil War.  You could say that the South felt that black rights had been
imposed upon it by the North.  You could argue that the motivation behind the Jim Crow
laws was not to say that blacks were inferior, but rather to say that the North could
not tell the South what to do.  If you look at it like this, these laws were an act of
defiance against the North, not an act of hatred towards
blacks.

However, I do not know of any reputable historians
who argue that the Jim Crow laws were mainly motivated by
anything but racism.

Can you compare Like Water for Chocolate with Romeo and Juliet?

One of the comparative points between Like Water
for Chocolate and Romeo and Juliet is that the
unfulfilled passion of pure love causes immediate death, in the former, it is the
immediate deaths of others, while in the latter it is the immediate deaths of the lovers
themselves. Another point of comparison is that both Tita and Juliet are dominated by
the traditions of the society and household: Tita must care for the aging mother until
she dies, while Juliet must marry a man that will advance the family's position and
wealth.

A comparative contrast (compare: examine to note
similarities and differences) is that in Like Water for Chocolate,
the lovers only die after Pedro has married someone else (in a Biblical allusion to the
narrative of Jacob and Rachel). Another contrast is that while Romeo and
Juliet is written in a realistic style, the other is written in the Latin
American magical realism style.

What is the irony in "Hamlet" in Acts 4 or 5???either dramatic, verbal or situational... i need it for applying irony to hamlet..

The first scene of Act 5 takes place in the graveyard and
while the beginning of the scene has some comic relief in the converstations between the
two gravediggers and then the 1st Gravedigger and Hamlet, the end of the scene is very
dramatic.  Laertes first leaps into Ophelia's open grave and proclaims his love for his
sister, then Hamlet rushes into the scene and proclaims his love to be greater than
40,000 brothers' love.  The irony here is that in Act 3, sc. 1, after the "To be, or not
to be..." speech, Hamlet told Ophelia, in line 120, "I loved you not."  The second scene
of Act 5 has several examples of irony as well.  The poisoned tipped sword that was
meant for Hamlet killed Laertes, too.  Hamlet also uses that sword, as well as the
poisoned wine, to kill the one who designed all that means of death for Hamlet -
Claudius.  Finally, Fortinbras, who used great subterfuge throughout the play to get 
his army into Denmark to fight to regain the lands his father lost, becomes king of
Denmark without the need to lift a blade because Hamlet and the rest of the royal family
are all dead.

Act 4 has a great deal of irony in it, too. 
There is much conversational irony in the exchange of words between Hamlet and his two
old friends, Rosencrantz and Guildenstern.  There is situational irony between the acts
of Fortinbras and Hamlet's own inactivity.

What are some examples from Dr. King's speech that showed the ideas of the Declaration of Independence were not being met for African-Americans?can...

I am assuming that you are asking about the "I Have A
Dream" speech and that you are referring to the part of the Declaration of Independence
that talks about all "men" being created equal.  I have edited your question
accordingly.

In this speech, Dr. King talks mostly in
generalities about the way he thinks America ought to be.  However, he does, at times,
give specific examples of ways in which he thinks that America has failed to treat all
people equally.

King talks about the injustice of
segregation.  He talks about travelers being unable to find lodging in segregated
hotels.  He talks about children being scarred by the "whites only" signs.  He talks
about the injustice of segregated housing.  He also talks about how unjust it is that
blacks have so many obstacles between them and the ability to vote.  Here is the most
salient passage from the speech:

readability="10">

We can never be satisfied as long as our bodies,
heavy with the fatigue of travel, cannot gain lodging in the motels of the highways and
the hotels of the cities. We cannot be satisfied as long as the negro's basic mobility
is from a smaller ghetto to a larger one. We can never be satisfied as long as our
children are stripped of their self-hood and robbed of their dignity by signs stating:
"For Whites Only." We cannot be satisfied as long as a Negro in Mississippi cannot
vote...

If Pn(x)=(x-1)(x-2)...(x-n) solve the inequality P5(x)/P6(x)>=2

If Pn(x)=(x-1)(x-2)...(x-n), then P5(x) =
(x-1)(x-2)...(x-5) and P6(x) =
(x-1)(x-2)...(x-6)

P5(x)/P6(x) =
(x-1)(x-2)...(x-5)/(x-1)(x-2)...(x-5)(x-6)

We'll simplify
and we'll get:

P5(x)/P6(x) =
1/(x-6)

But, from enunciation, we know that P5(x)/P6(x)
> =2

1/(x-6) >=
2

We'll subtract 2 both
sides:

1/(x-6) - 2 >=
0

We'll multiply by (x-6):

(1
- 2x + 12)/(x - 6) > = 0

We'll combine like
terms:

(13 - 2x)/(x - 6)>=
0

A ratio is positive if and only if both numerator and
denominator, are positive or negative.

Case
1)

13 - 2x >= 0

-2x
>= -13

2x =<
13

x = < 13/2 = 6.5

x -
6 >= 0

x >=
6

The interval of admissible values for x, that makes
positive the ratio, is [6 ; 6.5].

Case
2)

13 - 2x = <  0

-2x =
< -13

2x >= 13

x
>= 13/2 = 6.5

x - 6 =<
0

x =< 6

There is no
common interval for admissible values for x, in this
case.

The only admissible interval of valid
solutions for x is [6 ; 6.5].

What is the theme of The Watsons Go to Birmingham--1963?

As we follow the hilarious and moving escapades of the
Watson family from the point of view of the tender and young Kenny, a number of themes
seem to emerge as Kenny grows up through what he witnesses and experiences. One of the
really interesting features of this novel is the way that historical fact and fiction
are intertwined in the bombing in Birmingham. This obviously has a profound impact on
Kenny, as we see in Chapter Fifteen. However, one of the themes that we can see emerging
from this excellent novel comes when Kenny is forced to open up by his brother, Byron.
When Kenny asks why the bombing happened, and expressed that it wasn't fair, Byron
responds:

readability="9">

"Kenny, things ain't ever going to be fair. How's
it fair that two grown men could hate Negroes so much that they'd kill some kids just to
stop them from going to school? How's it fair that even though the cops down there might
know who did it nothing will probably ever happen to those men? It ain't. But you just
gotta understand that that's the way it is and keep on
steppin'."

This seems to sum
up one of the essential themes that the author is trying to communicate. In a backdrop
of violent racist incidents, life definitely isn't fair. But somehow, you have to accept
this fact and keep on going forward, regardless, because if you stop your life and live
it filled with fear, then those who are opposed against you have
won.

The five thousand billion freely moving electrons in a penny repel one another. Why don’t they fly off the penny? The shell of the penny prevents...

1. The penny doesn't really have a "shell" - even if it
did, it would be composed of atoms, just like the rest of the penny. The shape and
structure of the macroscopic structure doesn't really influence how the electrons behave
in this case.

2. The electrons do not attract each other;
they are all negatively charged, and like charges repel.

3.
Electrons do not "jam" because they repel one another; jamming would require that they
come into physical contact, which does not happen at these
energies.

4. It's true that the electrons don't have enough
speed to escape the penny - however this is not a complete description of what is taking
place. The electrons are being influenced by another, stronger
force.

5. The electrons are attracted to the
billions of positive charges in the protons. The electrons would need a significant
amount of energy in order to overcome and escape this
force.

Name several complications in The Most Dangerous Game.

The first complication Rainsford faces is the sea.  After
falling off the boat, he must fight the sea to survive.  That, however, was far from his
biggest complication.   Although appearing civilized, General Zaroff is everything but
civilized.  Rainsford discovers (to his horror)that Zaroff hunts other MEN, not
animals.  Because Zaroff gives him no other choice, Rainsford must evade Zaroff for 3
days as he hunts him down. 

So Rainsford's first
complication with Zaroff is successfully hiding from him in the jungle.  Although he
feels he was able to keep hidden, he finds that Zaroff is only playing with him and
chooses not to capture him on the first day.  Next, Rainsford places traps out for
Zaroff, and they do not pan out for him either, as one of the dogs sets off his first
trap, and Ivan is taken out in his second trap.  Rainsford does slightly injure Zaroff's
shoulder, but it is not life threatening.  His final complication is making it back to
the chateau without being caught and then facing Zaroff for the final
battle. 

Many obstacles were in his way, yet he was able to
maneuver his way through them and succeed in the end.

I need to write about my family history and need help on how I should start my first paragraph. Any ideas please?

Since your essay/paper will probably involve narraation,
you may wish to recreate with as much vivid detail as you can how your ancestors entered
the United States.  For instance, if your ancestors came to America via Ellis Island,
then you could, perhaps, recreate what the experience was like.  Doing some research on
this port of entry for an immigrant would be helpful in creating vivid
descriptions.

Or, you could begin in one of the ways
suggested by the link below which gives instruction on how to write an interesting
introduction.  Still, if you will make the first of your family come alive on the page,
then yours should be an interesting paper to read. 

Trade unions have deviated from their principles.why it is a curse for the modern workers?

I certainly agree with your statement.  I grew up in an
automobile industry city.  At one time, one of the big three American automakers
employed over 30,000 people just in my hometown.  As times became more difficult, plants
closed and people lost their jobs, but most from my hometown agree that the unemployment
is not solely the result of tough times.  While there was certainly a need for trade
unions in the 1940s/50s, the unions (especially the UAW in this case) eventually forced
companies to pay unskilled workers such high wages and offer unbelievably good benefits
that the companies cannot sustain those costs while still makinga profit.  In the 90s
when I was in high school, many of my classmates' fathers worked in the car factories
as assembly line workers and made an annual salary of $70,000--that's an incredible
amount of money for someone with only a high school diploma!  We witnessed last
year that GM is virtually powerless to make the necessary changes that they desperately
need to make in order to turn a profit.  Instead of looking out for their average union
members, the UAW bargained and fought against changes that would truly keep more jobs
open and put the company back on track. 

In addition to the
specific example above, trade unions have also hurt the modern worker
by:

--strongarming them to vote for specific candidates or
parties (ones who agree with union doctrine)

--forcing
workers to lose pay and work time over issues that the workers might not have
individually chosen to strike over.

--causing companies to
move their plants/branches to other states or even other countries where unions do not
have control.