Find (fog) if f(x)=x^3+1 and g(x)=x+1?

To determine the result of compositions of the given
function, all we need to do is to plug in the second function listed g(x) into the first
function f(x).

Conclusion: We'll replace x by g(x) in the
expression of f(x).

(fog)(x) = [f(g(x))] = [g(x)]^3 +
1

(fog)(x) = (x+1)^3 + 1

This
sum of cubes returns the product:

a^3 + b^3 = (a+b)(a^2 -
ab + b^2)

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

(x+1)^3 + 1 = (x+2)(x^2 + 2x + 1 - x - 1 +
1)

We'll eliminate like terms within the second pair of
brackets:

(x+1)^3 + 1 = (x+2)(x^2 + x +
1)

(x+1)^3 + 1 = x^3 + x^2 + x + 2x^2 + 2x +
2

(x+1)^3 + 1 = x^3 + 3x^2 + 3x +
2

The result of combining the given functions
f and g is: (fog)(x) = x^3 + 3x^2 + 3x + 2.

Could anyone please suggest some suitable dramatic monologues in Romeo and Juliet for me to perform?It's part of an oral test. Thank you! :)

Well, the answer to this question is going to depend quite
a bit on what gender you are, unless you are willing to engage in some very authentic
Shakespearian gender flexibility! Let us remember that boys played the parts of girls in
Shakespeare's original plays. Having said this, I will give you one from Juliet and one
from Romeo, and then you can pick which one you like.

My
favourite dramatic monologue from Juliet comes in Act IV scene 3, which is the night
before her wedding day to Paris. Juliet is left by herself to contemplate what she is
going to do. She plans to drink the potion given to her by the Friar, but she doesn't
know if it will work or if it might actually kill her. This is an impressive monologue
because we see a very vulnerable Juliet who nevertheless decides she has to act alone,
and thus gives us evidence of how she matures during the
play.

For Romeo, I would pick his final soliloquy just
before killing himself in Act V scene 3. This is clearly an intense moment, and is
bittersweet in the way that it presents a reunion with his beloved wife, but it also
represents a tragic twist of events, as Romeo kills himself just before Juliet wakes up.
Hope these ideas help and good luck!

What part does chance and coincidence play in the short story "The Most Dangerous Game"?

There are several astounding coincidences that occur in
Richard Connell's short story, "The Most Dangerous Game." The most obvious is how two of
the world's foremost big game hunters manage to meet one another on such a remote island
in the Caribbean. The first example occurs when Rainsford manages to fall from his yacht
at the exact moment that it is navigating past Ship-Trap Island. It is by chance that
Rainsford manages to survive the fall and swim through the treacherous waters and rocks
that surround the island. Only because Rainsford announces his name to Ivan does Zaroff
recognize it, realizing he is in the presence of an equally skilled hunter; otherwise,
Rainsford would have probably joined the other imprisoned sailors awaiting to be hunted
by Zaroff. Though Rainsford shows great skill in avoiding Zaroff and his dogs, it is by
chance that Zaroff and Ivan walk into his traps. Lastly, it is only by sheer luck that
Rainsford survives his last-ditch plunge from the cliff into the rocky
waters.

Provide evidence from the 1990s to the present of the conflict between the national and state goverment. Focus on federal aid to the states.

In modern times, many of the disputes over federalism have
to do with how many "strings" the federal government can and should attach to the money
it gives to the states.  We can see this in, for example, debates over Medicaid and over
the No Child Left Behind law.

In both cases, the federal
government gives a great deal of aid to states.  In both cases, it sets out many rules
by which the states must play in order to get that money.  By doing so, the federal
government exerts tremendous power over areas that the states feel they should control. 
Because of this, the states have tried hard to get out of having to obey the rules set
by the national government.  This process is ongoing today as people like Governor Perry
of Texas want waivers of Medicaid provisions and states like Utah consider opting out of
federal funding to avoid having to follow NCLB.

How did the founding of Rhode Island and the establishment of Pennsylvania play a role in advancing democracy in colonial America?

The creation of these two colonies advanced the idea of
democracy in the American colonies because these two colonies were based to some extent
on ideas of political and personal freedom.

Rhode Island
was founded by dissenters who were forced to leave the Massachusetts Bay Colony.  These
people, like Roger Williams, were forced out because they believed the "wrong" things. 
This led them to create a new colony that would allow religious
freedom.

Similarly, Pennsylvania was set up by Quakers. 
This was a sect that was widely persecuted for its beliefs.  Pennsylvania's laws allowed
mandated complete tolerance of all religions.

Part of
democracy is that governments must protect personal freedoms such as the freedom of
religion.  The establishment of these colonies was a step in that
direction.

What is the main contention of this article about the London...

The main contention of this article is that the rioting is
caused by the government neglecting the citizens of the areas in which the riots began. 
The author poses the question as to why the rioters were destroying their own streets
and answers that it is

readability="5">

Because they don't feel like the streets are
''theirs'' in the first
place.

From there,
the author gives a view of riots that is typical among liberals.  She points out that
the government has, in her view, not done enough for the people of these areas.  She
gives, as an example, her own work experience as a "supply teacher" in such an area. 
She argues that the government does not give such areas the resources that they need in
order to prosper.  This frustrates the residents of the area and makes them feel
alienated from the society as a whole.  Because they feel this way, they are likely to
riot if something provokes them.

The main contention of the
article, then, is that the riots happened because the government has neglected the
people who live in the areas most affected by the rioting.

How does the poem "Night of the Scorpion" appeal to the senses of the reader through imagery?i actually want the imagery of the poem and the...

"Night of the Scorpion," by Nissim Ezekiel, is a narrative
poem that includes several striking images.  These images can be interpreted as
symbols.

The poem begins by telling that "Ten hours / of
steady rain had driven him [the scorpion] / to crawl beneath a sack of rice."  Later,
the poet clearly identifies the scorpion as "the Evil One."  The scorpion's hiding
beneath a sack of rice can now be seen as a symbol of the evil that is hidden in various
places in the world and in ourselves.

The peasants who come
to help the narrator's mother are depicted as being little more than powerless insects
themselves:

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The peasants came like swarms of
flies

and buzzed the name of God a
hundred

times

Later,
the peasants are again compared to powerless insects:

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More candles, more lanterns,
more

neighbors,

more
insects...

In contrast to the
superstitious peasants, the narrator's father represents rational modernity: "My father,
sceptic, rationalist."  In this time of crisis, however, the father's rationalism is
ineffective, and he resorts to incantations and folk
remedies:

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[My father] trying every curse and
blessing,
powder, mixture, herb and hybrid.
He even poured a little
paraffin
upon the bitten toe and put a match to it.
I watched the
flame feeding on my
mother.

These images, among
others, appeal to the reader's senses, and help bring to life the poem's symbolic
meanings.