In Chapter 4, how does Curley's wife feel about life on the ranch? Explain why you do or do not feel sympathy for her.

Marrying the first guy who smiles at you at the Riverside
Dance Palace wasn't an uncommon event in those days, where marriage wasn't just for
love, but a way to get out of the house into perhaps some security, especially with the
son of a ranch owner.  Married life, especially to a guy like Curley, isn't all she
expected.

I do feel a bit sorry for her, because of the
status of women at the time, as possessions to order around and to keep in the house. 
The fact she doesn't have a name in the story says, I think, a
lot.

How to apply l'Hopital to calculate the limit of the function (x^2-x-6)/(x+2) x-->-2

To calculate the limit, we'll substitute x by -2 in the
expression of the function.

lim f(x) = lim ( 4 + 2 -6
)/( -2 + 2 )

lim ( x^2 - x -6 )/( x+2 ) =  (6-6)/(-2+2) =
0/0

We notice that we've obtained an indetermination case,
0/0 type.

We'll apply l'Hospital's rule, by differentiating
separately the numerator and denominator.

We'll
differentiate the numerator:

( x^2 - x -6)' = 2x -
1

We'll differentiate the
denominator:

(x+2)' = 1

We'll
re-write the limit:

lim ( x^2 - x -6 )/( x+ 2 ) = lim
(2x-1)

We'll substitute x by
-2:

lim (2x-1) = 2*(-2) - 1 =
-4-1

The limit of the function, when
x->-2, is: lim (x^2-x-6)/(x+2) =
-5.

In Robert Frost's "Stopping by the Woods on a Snowy Evening," what is the surface and deep meaning and what's the link between them?

Your question is really asking about symbolism and how it
is used in this great poem. Robert Frost in his poetry is a master of symbolism, and
uses every day situations or events to suggest much deeper meanings and ideas. Symbolism
is defined as any object, character or action that has its literal meaning but also
points towards a larger idea or concept. Thus, for example, a symbol of a dove both
represents a dove, but it has also come to represent peace in
general.

Applying symbolism to this poem then yields
fascinating results. The surface meaning is the literal meaning or situation that the
poem is describing. It is a poem about a man who stops by woods on a snowy evening and
contemplates the scene before him, then carries on. However, much has been written about
the symbolic meaning of this poem, and in particular what the woods symbolise. My own
idea is that the woods represent death, or release from the world of work and
responsibility. Note how attractive the poem makes the woods out to
be:

The only
other sound's the sweep

Of easy wind and downy
flake.

The woods are lovely, dark and
deep.

It appears that there
is a massive internal conflict going on in the author about his desire to stay in these
"lovely" woods, but then his recognition that he "has promises to keep." These promises
could be said to symbolise the responsibilities of our world and work that we have to
do. The repetition of the last line and the significance of the final word, "sleep,"
seems to support my conclusion, as sleep is a common symbol for
death.

Thus, thinking symbolically, this poem is all about
the speaker's desire to embrace the beauty of death, rest or freedom, but his
recognition that he still has lots of work he must do before he can get to that
rest.

In The Great Gatsby, why is the young Gatsby drawn to Daisy? (Chapter 9)

In Chapter I of the novel, Nick introduces Gatsby,
defining him in terms of his most significant trait: Gatsby is a romantic. From his
earliest years in North Dakota, he had longed for a life filled with beauty, glamor, and
a heightened sense of possibility. He lived for his romantic dreams, and his dreams
defied the realities of his birth.

When he meets Daisy in
Louisville, he does not intend to fall in love with her, but slowly he is drawn into her
exalted world of wealth and the glamor that surrounds those who own it. She is beautiful
and desirable; many young officers vie for Daisy's company. The fact that other men want
Daisy so much makes her all the more desirable for Gatsby. When he gives himself up to
loving her, she becomes the incarnation of all his romantic dreams. She is all beauty,
mystery, and enchantment for him.

Chapter VI and Chapter
VIII include passages of exposition that deal very specifically with Gatsby's early
relationship with Daisy and the circumstances under which he fell in love with
her.

What is Calpurnia's function in the Finch household in To Kill a Mockingbird?

Cal does just about everything.  She is officially the
housekeeper, but Atticus notes that they could not get along without her.  She is strict
but caring.  She tries to raise Scout and Jem as if they were her own children.  She is
their surrogate mother.  When Aunt Alexandra wants to send her away, Atticus
refuses. 

Scout often thinks that Calpurnia treats them
unfairly or is too harsh.  Atticus assures her that she needs to mind Cal and Cal has
important things to teach them.  So Cal does much more than cook and
clean.

At one point, Cal takes Scout and Jem to her
church.  In the story, this serves an important function.  It gives us a window into
another culture in Maycomb.  It also gives Scout and Jem a place to view the trial,
because they sit with the Reverend in the balcony.

What are the differences in character and behaviour between Sophie's mother and David's mother in The Chrysalids?

The first thing that strikes us about Sophie's mother,
Mrs. Wender, who is a more sympathetic character than David’s mother, is that she is
very much on her guard and suspicious. She answers the door when David approaches her
house with what he as the narrator describes as an "anxious abruptness." He says she
looked at him "sharply and frowned" at him.

The next thing
is complicated because three traits are bound into one reaction. Firstly, after David's
explanation of Sophie's accident, Mrs. Wender's reaction is directed toward Sophie's
injury, "Oh!... Her foot!" There be a hidden double meaning yo this since Mrs. Wender
knows that it a six-toed foot. Secondly, she suspends her concern for "a moment" to look
"hard" at David while she evaluates David's trustworthiness. Thirdly, she makes a
decision about the inevitability of trusting David to take her injured child, and says,
"Where is she?"

Through the remainder of the two scenes
involving Mrs. Wender and Sophie (at the rock and back at the house), she shows tender
love for Sophie. This is especially evident when she kisses Sophie's mutated foot that
could condemn her to the realm of non-humanity:

readability="9">

[David] watched her mother pause to look down at
[her foot] for a still moment, lift it, bend to kiss it gently, and then look up with
tears in her eyes.

She also
shows tender acceptance of David and courageous trust in him regarding the fearsome they
now share, the secret of Sophie’s six mutated toes.

David's
mother is a diametrical opposite of Mrs. Wender. David remarks that his mother has a
"damping manner of listening only to correct," which strongly suggests she lacks the
tenderness Mrs. Wender displays. This is confirmed in her treatment of Aunt Harriet
after her abominable suggestion that their babies be switched for the purpose of
attaining a certificate that authenticates humanity by confirming normalcy as defined by
the Definition of Man.

David compares Harriet to his mother
and says he see in her a “little softened version" of his mother. She shows a lack of
compassion when she imperviously demands to see Harriet's baby without the wrapping of
blankets, calls the baby a “Monster!” and has Joseph order then both out of the
house:

My
mother said coldly, forcibly: "Harriet, let me see that child--properly. … Tell her to
leave the house--and take that with
her."

Harriet describes what
they see as "a little thing." David suspects it might be a sixth toe like Sophie’s
[Though there is no clue, I agree based on one of David's earlier remarks that parallel
the “little thing” description: "It seemed a very small toe to cause such a degree of
anxiety."] These cold hard traits are mitigated a little when she cries for what seems
to be a deeply suppressed secret sorrow after Joseph reminds her "that you yourself have
had to make your own penances twice!" This seems to allude to two births of baby's with
mutations.

What is b if y= x^2 + 3x + b has two complex roots.?

Given the quadratic equation
:

y= x^2 + 3x + b

We need to
determine b such that y has two complex roots.

We know that
if delta < 0, then the quadratic equation has 2 complex
roots.

==> delta = b^2 - 4ac <
0

==> a = 1   b= 3    c =
b

==> 9 - 4*1*b <
0

==> 9- 4b <
0

==> -4b <
-9

==> b >
9/4

Then the values of b should be greater that
9/4

Then, b belongs to the interval ( 9/4 ,
inf )