`x = 2sqrt(y), x = 0, y = 9` Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified...

You need to evaluate the volume of the solid obtained by the rotation of the region bounded by the curves `x = 2sqrt y, x =0` , the line y = 9, about y axis, using washer method, such that:

`V = int_a^b (f^2(x) - g^2(x))dx, f(x)>g(x)`

You need to find the next endpoint, since one of them, y = 9 is given. The other endpoint can be evaluated by solving the following equation:

`2sqrt...

You need to evaluate the volume of the solid obtained by the rotation of the region bounded by the curves `x = 2sqrt y, x =0` , the line y = 9, about y axis, using washer method, such that:

`V = int_a^b (f^2(x) - g^2(x))dx, f(x)>g(x)`

You need to find the next endpoint, since one of them, y = 9 is given. The other endpoint can be evaluated by solving the following equation:

`2sqrt y = 0 => 4y = 0 => y = 0`

You may evaluate the volume

`V = pi*int_0^9 ((2sqrt y)^2)dy`

`V = pi*int_0^9 (4y)dy`

`V = 4pi*y^2/2|_0^9`

`V = 2pi*y^2|_0^9`

`V = 2pi*(9^2 - 0^2)`

`V = 2pi*(81)`

`V = 162pi`

Hence, evaluating the volume of the solid obtained by the rotation of the region bounded by the curves `x = 2sqrt y, x =0` , the line y = 9, about y axis, yields `V = 162pi` .

Jason bought two identical boxes of nails. One box weighs 168 ounces. What is the total weight of the nails Jason bought?

The key here is understanding the question prompt. We are told that Jason bought two identical boxes of nails. The keyword here is 'identical'. Identical means the same. So if one box weighs 168 ounces, the second box must weigh 168 ounces as well.

To find the weight of the two boxes together, you can either add or multiply as shown below.

`168+168=336` ounces, or

`168*2=336` ounces.

You can see either method yields the same result, as...

The key here is understanding the question prompt. We are told that Jason bought two identical boxes of nails. The keyword here is 'identical'. Identical means the same. So if one box weighs 168 ounces, the second box must weigh 168 ounces as well.

To find the weight of the two boxes together, you can either add or multiply as shown below.

`168+168=336` ounces, or

`168*2=336` ounces.

You can see either method yields the same result, as we would expect.

Now, we might want to calculate how many pounds of nails Jason bought. To do this we must use a conversion factor. There are 16 ounces in 1 pound. 

`336/16=21` pounds.

So Jason bought 21 pounds of nails, in total. Likewise, we can see that each box individually holds 10.5 pounds of nails.

Why is it important for Scrooge to experience each one of those Christmases?

Each Christmas that Scrooge experiences reveals something to him.  When Scrooge is visited by the Ghost of Christmas Past, he is shown the former joy and trials in his life.  Scrooge sees how he lost Belle because of his greed.  When he observes the scene of Belle and her husband discussing Scrooge's loneliness, he begs to see no more of the scene.  His past Christmases show Scrooge where his greed has brought him.

When Scrooge...

Each Christmas that Scrooge experiences reveals something to him.  When Scrooge is visited by the Ghost of Christmas Past, he is shown the former joy and trials in his life.  Scrooge sees how he lost Belle because of his greed.  When he observes the scene of Belle and her husband discussing Scrooge's loneliness, he begs to see no more of the scene.  His past Christmases show Scrooge where his greed has brought him.

When Scrooge is visited by the Ghost of Christmas Present, he sees how his greed and selfishness has impacted his present.  Scrooge gazes upon the poverty of the Cratchit family, and he hears Mrs. Cratchit's negative opinion of him.  He also sees his nephew's Christmas party.  He observes the pity and disdain his nephew and niece feel toward him.  Scrooge's Christmas present shows him that the people in his life have a poor opinion of him and that they are suffering.

Last, Scrooge is visited by the Ghost of Christmas Yet to Come.  He sees that in his death, the only people who show emotion are those in debt to him.  He also finds out that Tiny Tim has died.  Scrooge at last realizes that he has a chance to change his life and become a more generous, caring person.

What is the exposition of milkweed?

The exposition is the part of the plot of a story (or in this more specific case, a young adult novel) that talks about the setting and the characters.  In the exposition of Jerry Spinelli's Milkweed, we learn all about the boy named "Stopthief" and his early journeys in Warsaw, Poland.

The exposition begins as the book opens with either a memory or a dream from the boy now only called "Stopthief."  The narrator...

The exposition is the part of the plot of a story (or in this more specific case, a young adult novel) that talks about the setting and the characters.  In the exposition of Jerry Spinelli's Milkweed, we learn all about the boy named "Stopthief" and his early journeys in Warsaw, Poland.

The exposition begins as the book opens with either a memory or a dream from the boy now only called "Stopthief."  The narrator has stolen some bread and is being hailed as a theif as he runs.  As the narrator collapses from exhaustion, he is pulled to safety by Uri who tells him to be more wary of "Jackboots" instead of women guarding their bread.  As the town is attacked, Uri leads him to his hideout and introduces the narrator to the other boys under his tutelage.  Here, Uri and the other boys learn that the narrator has no idea if he is Jewish or not.  Further, the narrator doesn't even know his own name.

In my opinion, the exposition ends at Misha's "birth" (or the giving of his identity by Uri):

And so, thanks to Uri, in a cellar beneath a barbershop somewhere in Warsaw, Poland, in the autumn of the year nineteen thirty-nine, I was born, you might say.

The barbershop cellar is where the boys are hanging out in Warsaw, Poland.  It is the fall of very specific year 1939.  In this one sentence we learn the exact setting of place (Warsaw Poland, in this scene the barbershop basement) and the exact setting of time (autumn of 1939).

Can you explain the theoretical models used to discuss sensitivity to difference, such as the Bennett scale, in addition to an understanding of the...

There are several different models used to understand how people perceive cultural differences and how culturally sensitive they are. Cultural sensitivity is the acceptance of differences among people without assigning a negative or positive value to these differences. For example, Dr. Milton Bennett developed the Bennett scale, also referred to as the Developmental Model of Intercultural Sensitivity (DMIS). According to this scale, people are arrayed along six stages of cognitive development with regard to how well...

There are several different models used to understand how people perceive cultural differences and how culturally sensitive they are. Cultural sensitivity is the acceptance of differences among people without assigning a negative or positive value to these differences. For example, Dr. Milton Bennett developed the Bennett scale, also referred to as the Developmental Model of Intercultural Sensitivity (DMIS). According to this scale, people are arrayed along six stages of cognitive development with regard to how well they can integrate and understand cultural differences. For example, the first stage is denial of difference, in which people perceive of their culture as the only one. Later stages include defense against difference, minimization of difference, acceptance of difference, adaptation of difference, and integration of difference. In the last stage, people can shift cognitive sets to take on different world views. 

Ron Takaki's A Different Mirror discusses the ways in which race can be a metaphor (an idea from Toni Morrison) that explains how people in the U.S. integrate an understanding of diversity into their ideas about American identity. If people perceive of America as white, they see non-whites as not American, so this myth affects the way in which diversity is handled in the U.S. In what Takaki calls the "Master Narrative," the United States is defined as white, although that is a myth rather than reality. Takaki writes about the ways in which the multicultural reality of America is changing people's conceptions of this myth. 

Describe Jerry's passage through the tunnel in Lessing's "Through the Tunnel."

Jerry pushes himself to physical limits as he passes through the tunnel.

After experiencing what he perceives as humiliation by the older boys, who "swam back to the shore without looking at him," Jerry vows to be able to accomplish what they have done by swimming under the water and through the secret passage of the huge rock. So, he asks his mother for swimming goggles, and then he begins to secretly condition himself to be able to hold his breath for enough minutes to be able to swim underwater and pass through the tunnel.

First, he must locate this passage. After repeated attempts, Jerry finally puts his feet forward in the water and finally encounters no obstacle, now discovering the hole through which the big boys have swum. Then, Jerry enters the hole, but can see nothing, but "it was enough." Because he knows he must learn to hold his breath for an extended time, Jerry lets himself sink to the floor of the sea and counts as he holds his breath, beginning his conditioning. 

After a couple of days, Jerry has strengthened his lungs enough so that he can hold his breath for over two minutes. Before he and his mother must return home, Jerry goes to the wild bay and makes his attempt to pass through the tunnel. He adjusts his goggles tightly upon his face so that no water will seep inside. Although his hands shake nervously, Jerry fills his lungs twice with air as he looks up at the sky; then, he submerges himself and, counting as he does so, Jerry pulls himself inside the great rock by wriggling his shoulders. While the water pushes him upward against the roof of this rock, Jerry uses his legs to propel himself forward. Still, sometimes he strikes his head sharply on this rock, but courageously he continues and bears the pain in his head. 

There was no strain on his lungs. He felt like an inflated balloon, his lungs were so light and easy, but his head was pulsing.

Unfortunately, Jerry's head continues to bump against the rock until he gives a kick in panic while ducking his head as he swims. Soon, he feels himself moving freely, so Jerry believes the rock has widened. But, because he is moving more quickly, Jerry is worried about again banging his head. Further, as he moves, the water does not appear as dark; Jerry senses victory ahead. Now, however, his lungs are starting to ache, and he suddenly realizes that the lighter water is due to a crack in the rock where sunlight can filter. There is more tunnel yet, and Jerry must move forward or he will drown. "His head was swelling, his lungs cracking." Feebly, he clutches at the rock and pulls himself forward, feeling as though he is dying. At last, "the darkness cracked with an explosion of green light"; Jerry has made it through the tunnel. He kicks with his feet and propels himself into the open water. Gasping for air, Jerry suddenly fears that he will sink and drown. Moreover, he worries that if he can swim, he still will not be able to reach the rock where he can hold on and rest. But, somehow he makes it to the rock and pulls himself up on its surface where he can rest.

He tore off his goggles and a gout of blood went into the sea. His nose was bleeding, and the blood had filled the goggles.

Jerry washes the goggles and his face with the sea's water. After a while, his heart beats normally and he is able to sit up. He has been victorious, and now he has no interest in the bigger boys; he only wants to go back to the villa and lie down. Jerry has completed his rite of passage and is proud of himself.

How does Ahab's speech in "The Quarter-Deck" affect Ishmael?

In Chapter 36 of Moby-Dick, "The Quarter-Deck," Ahab convinces (most of) his crew to join his personal quest for vengeance against the white whale Moby Dick by inciting their passions:

Drink, ye harpooneers! drink and swear, ye men that man the deathful whaleboat's bow--Death to Moby Dick! God hunt us all, if we do not hunt Moby Dick to his death!

After this climactic moment, Ishmael as narrator provides a dramatic account of the...

In Chapter 36 of Moby-Dick, "The Quarter-Deck," Ahab convinces (most of) his crew to join his personal quest for vengeance against the white whale Moby Dick by inciting their passions:

Drink, ye harpooneers! drink and swear, ye men that man the deathful whaleboat's bow--Death to Moby Dick! God hunt us all, if we do not hunt Moby Dick to his death!

After this climactic moment, Ishmael as narrator provides a dramatic account of the entire crew's behavior afterwards but neglects to tell the reader what he himself felt at that moment.  However, at the beginning of Chapter 41, "Moby Dick," he begins

I, Ishmael, was one of that crew; my shouts had gone up with the rest; my oath had been welded with theirs; and stronger I shouted, and more did I hammer and clinch my oath, because of the dread of my soul.  A wild, mystical, sympathetical feeling was in me; Ahab's quenchless feud seemed mine.  

From this quotation, we can see that more than being merely a part of Ahab's "crew," Ishmael identifies himself and his purpose with Ahab's revenge plot.  He, too, was party to the "oath" that he narrates chapters earlier to such an extent that Ahab's "feud" becomes Ishmael's own.  Thus, the speech in "The Quarter-Deck" excites Ishmael to pursue Moby Dick to the death.