Discuss Juliet's relationship with Capulet.

Lord Capulet talks in Act I, scene ii with Paris about his love
for his daughter.  He wishes to shelter her yet from marriage, even though many girls her age are
already married with children.  He also seems to respect her opinion in choosing a marriage
partner, a rare perspective for a father in the day that Shakespeare lived and worked.  Wealthy
and prestigious families saw marriage as a contract, an alliance between families meant to add
prestige or financial strength, and not as a contract based upon love.  He
says:

She is the
hopeful lady of my earth.

But woo her, gentle Paris, get her
heart,

My will to her consent is but a
part,

And she agreed, within the scope of
choice

Lies my consent and fair according
voice.

So, Capulet seems to dote on
his only daughter and gives her an unconventional voice in her own
matchmaking.

And yet the two have no actual interaction until Act
III, scene v.  This scene comes after Tybalt's death and Capulet's determination that he can
cheer his daughter up (She is thought to be grieving over her cousin's death.) by offering her a
marriage to Paris.  Capulet, through the course of the play, has shown himself to be a somewhat
volatile and inconsistent man, so when Juliet refuses his "gift," he explodes in a rage that, in
some productions of the play, has him actually physically violent with Juliet.  In any event, he
tells her to get herself to church and marry Paris or:

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Beg!  Starve!  Die in the
streets!

For by my soul I'll ne'er acknowledge
thee,

Nor what is mine shall never do thee
good.

This is a far cry from the
gushing father of Act I, and it is the opposite of the father, once he believes that his daughter
is dead in Act IV, who says over her cold body:

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Death lies on her like an untimely
frost

Upon the sweetest flower of all the
field.

So, Juliet's relationship with
Capulet is governed and decided by his opinions and actions.  She only speaks at two moments to
him in the entire play -- the first in Act III when she refuses Paris, and the second in Act IV
when she apologizes for this and repents (an action that the audience knows is false).  Juliet is
not given enough interaction with Capulet to note any sort of "change" in their relationship
through the course of the play.

It is Capulet who could be noted to
change towards his daughter.  And yet, he changes so frequently that it is hard to assign a
reason to his change, expect to say that it is because she has displeased him.  When Juliet does
what he wants, he is a loving, doting father.  When she does not, he is cruel and harsh.  This
may or may not be a result of the events of the play.  His actions with others and throughout the
play seem to suggest that it is simply his nature to flip-flop, to be swayed by his quick temper
and his mood swings.  If this is the case, then he doesn't actually change at
all.

Please follow the links below for more on Capulet and Juliet's
relationship.

What does the reader learn about the characters of the narrator and the old man, in Ernest Hemingway "Old Man and the Bridge?"

The narrator seems to be with the army that is
anticipating the attack of the enemy from somewhere beyond the bridge.  The narrator may
be a scout of some kind.  He tells us that his job is to cross over the bridge, assess
how close the enemy is and return.  He notices the old man as he crosses the bridge to
do his job, and when he returns, although most of the peasant traffic has gone, he finds
the old man still there.  He strikes up a conversation with the elderly gentleman and
tries to encourage him to move on to a safer location.

The
reader learns that the old man has left San Carlos. It is his home town and he reports
that he was the last to leave, departing only because of the danger of artillery fire.
The elderly man reports that he has no politics, taking neither side in the war raging
around him.  He also says that he has no family. The old man reports that he was in San
Carlos caring for animals: two goats, a cat, and four pairs of pigeons. The old man was
told that he really had to leave because of enemy fire.

The
man is exhausted and having a hard time finding the energy to move on. He speaks to the
soldier (narrator) about the animals. He is worried about what will happen to them; if
it was dangerous for him, will it not also be dangerous for the
animals?

The soldier tries to comfort the man, and once
again encourages him to leave, but the old man becomes more mentally unfocused; and when
he rises, he sways and sits back down.

We get the sense
that when the soldier leaves, the old man is still seated next to the
bridge.

What conclusions does Horwitz reach as a result of his travels in Confederates in the Attic?Do you agree or not?

There's no way to completely summarize what Horowirtz concluded
in this short space, but let me highlight some of the standout points I found when I read
it.

1) Southern identity is sometimes tied to "The Lost cause"--that
of the Civil War and independence--and that this sometimes defines what it is to be southern.  (I
agree, but of course it's more complex than that)

2)  There is a
huge social, economic and racial gap between blacks and whites in the South, even today. 
Horowitz talks about feeling like he was the enemy, as an outsider, and Jewish, talking to
southern whites, and as a white man talking with African-Americans. (I agree and think most of
the country doesn't realize how much of our racial legacy, and the legacy of slavery, still exist
in the South)

3) The South is easy to dismiss as a bunch of
rednecks, "crackers", or uneducated people, but the South is a society made up of complex people
and views, and there are no easy answers, no clear "right" or "wrong".  (I agree
completely)

Explain why the function f(x) = (3x-12) / (x-4) is discontinuous.

The function f(x) is discontinuous because for x = 4, the
function is not defined.

The given function is a ratio and a ratio
is defined when it's denominator is different from zero.

To check
the continuity of a function, we'll have to determine the lateral limits of the function and the
value of the function in a specific point.

We'll prove that the
function has a discontinuity point for x = 4.

We'll calculate the
left limit of the function:

lim  (3x-12) / (x-4) = (3*4 - 12)/(4 -
4) = 0/0 (x->4)

Since the result is an indetermination, we'll
apply L'Hospital rule:

lim  (3x-12) / (x-4) = lim  (3x-12)' /
(x-4)'

lim  (3x-12)' / (x-4)' = lim 3/1 =
3

Now, we'll calculate the right limit. We notice that the right
limit is equal to the left.

We'll have to determine the value of the
function for x = 4.

f(x) = 0/0 not
determined.

For a function to be continuous, the values of lateral
limits and the value of the function have to be
equal.

We notice that the values of the lateral limits
are equal but the value of teh function is not determined, so the function is not continuous for
x = 4.

In literary symbolism, what does the falcon generally represent?

The falcon is a proud bird, and it appears often in literature,
symbolizing a variety of ideas.  Shakespeare uses falcon imagery in Othello,
when Othello characterizes his relationship with Desdemona using falconry
imagery:

If I do prove
her haggard,

Though that her jesses were my dear
heartstrings,

I'd whistle her off and let her down the
wind

To prey at
fortune.

Here Othello uses "haggard"
to mean hawk or falcon, and Othello declares that if Desdemona is not faithful or true (too
wild), he will whistle her off, as one does a falcon, and let her go free.  In this example, the
falcon is a proud bird that can be trained to hunt by the falconer. The falconer either controls
the falcon or sets it free.  Thus, a husband/wife relationship is symbolized by the relationship
between the falconer and falcon.

We see a similar analogy used in
Taming of the Shrew, when Petruchio uses falconry imagery to discuss his
taming of Kate.

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My falcon now is
sharp and passing empty;
And till she stoop she must not be
full-gorged,
For then she never looks upon her
lure.

Petruchio attempts to
tame his falcon (Kate) by depriving her of food until she "stoops" to obey his
commands.

In "The Second Coming," Yeats uses the falcon to symbolize
the world that has spun out of control--

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The falcon cannot hear the
falconer.

In this case, the falcon
symbolizes mankind while the falconer symbolizes God.  Yeats suggests that we have lost our
guide, our structure, our conscience.

The common element in each of
these examples is the relationship between the falcon and falconer.  The falconer symbolizes the
one is control, the tamer, the guide.  The falcon symbolizes the one who is beautiful and proud,
but needing to be domesticated by the falconer.

If the sides of a triangle measure 8,9,and 10,find the longest side of a similar triangle whose perimeter is 81?

Similar triangles bear the same ratio of the correspoding
sides.

If a , b and c are the sides of one triangle and  d, e and f
are he correspoding sides of the similar triangle , then :

a/d =
b/e= c/f  each = k say....(1)

 Then a = dk, b = ek and c =
fk.

Therefore (a+b+c) = (d+e+f)k.

Or
(a+b+c)/(d+e+f) = k.

Given a=8, b=9 and c = 10.  So a+b+c= 8+9+10 =
27. Also d+e+f = 81.

Therefore (a+b+c)/(d+e+f) = 27/81 =
1/3.

 Therefore from (1) :

d = a/k =
8/(1/3) = 24

e = b/k = 9/(1/3) = 27.

f
= c/k = 10/(1/3) = 30.

So the  sides of the similar triangle whose
perimeter is 81 are: 24,27 and 30.

What does the poem mean?

Arnold’s poem represents a doubt in both faith and
society, a theme common to the Victorian era. In the first and second stanzas, Arnold
describes the beach setting in terms of poetic techniques: The rhythm and cadence of the
ocean create a mood. He remarks how Sophocles once heard in those same sounds “a
thought,” as if poetic thought cannot help but arise from observations on nature.But
Arnold’s crisis of faith makes it impossible for him to see the landscape as anything
but symbolic of the loss of faith which he believes is breaking apart the society of his
time.