`y = x, y = 0, x = 2, x = 4` 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 `y = x , y = 0, x = 2,x=4` about x = 1, using washer method, such that:

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

You may evaluate the volume

`V = pi*int_2^4 (1 - y)^2dy`

`V = pi*int_2^4 (1 - 2 y + y^2)dy`

`V = pi*(int_2^4 dy - 2*int_2^4 y dy +int_2^4 y^2 dy)`

`V = pi*(y - 2*y^2/2 +y^3/3)|_2^4`

`V = pi*(y - y^2 +y^3/3)|_2^4`

`V = pi*(4 - 4^2 +4^3/3 - 2+ 2^2 - 2^3/3)`

`V = pi*(-10 + 56/3)`

`V = (26pi)/3`

Hence, evaluating the volume of the solid obtained by the rotation of the region bounded by the curves `y = x , y = 0, x = 2,x=4 ` about x = 1, yields `V = (26pi)/3.`

What perspective is "A Retrieved Reformation" written in?

"A Retrieved Reformation" is written from the perspective of a third-person omniscient narrator who is telling about an event that occurred in the past and who confines himself almost entirely to a single character's point of view (POV), the point of view of Jimmy Valentine. Nearly everything that happens is observed by Jimmy, or else he is present on the scene and could be assumed to observe it. There is only one brief deviation from Jimmy's point of view. This can be seen when Ben Price gets involved in the investigation of the three bank jobs Jimmy pulled almost immediately after he got released from prison for the "Springfield job."

Ben Price investigated the scenes of the robberies, and was heard to remark: “That's Dandy Jim Valentine's autograph. He's resumed business. Look at that combination knob—jerked out as easy as pulling up a radish in wet weather. He's got the only clamps that can do it. And look how clean those tumblers were punched out! Jimmy never has to drill but one hole. Yes, I guess I want Mr. Valentine. He'll do his bit next time without any short-time or clemency foolishness.”

The omniscient narrator is still present, but Jimmy Valentine is far away. Nevertheless, it should be noted that Ben Price's point of view is everything about Jimmy Valentine. Jimmy's presence is still felt.

A fiction writer establishes reader identification with a leading character by telling everything from that character's point of view. Point of view and motivation are essential to maintaining reader interest. The reader begins by identifying with Jimmy because he is good-looking, smart, successful, and likeable. Everybody likes Jimmy. Then when Jimmy falls in love and decides to go straight, the reader identifies with him more strongly because of his motivation. We want to see him get married and succeed in building a completely new life in this new town. It is not easy to identify with a criminal. That is the unusual aspect of O. Henry's story--making a hero of a criminal. It is much easier to identify with Jimmy after to falls in love and tries to reform. 

O. Henry tells many of his stories as the omniscient third-person narrator with the focus on one specific character's point of view. This is the technique he uses, for example, in "The Last Leaf," in "The Cop and the Anthem," and in "The Gift of the Magi." In these three stories we are in the points of view of Sue, Soapy, and Della, respectively. O. Henry apparently liked this approach to storytelling because it left him free, as the omniscient narrator, to make any observations or comments he wanted. He can be a very objective narrator or a very intrusive narrator. When a story is told in the past tense by an omniscient narrator, the reader can and will assume that there is a "point" to the story, that the narrator knows what that point is, and that he will reveal the point of the story when he gets to the end. 

What does this passage from Macbeth mean? Out, damned spot! out, I say!--One: two: why,then, 'tis time to do't.--Hell is murky!--Fie, mylord, fie!...

This passage is from the first scene of Act V in Macbeth. The Doctor and a Gentlewoman are discussing Lady Macbeth's bizarre habit of sleepwalking, and speculating just what might be bothering her. As they are talking, Lady Macbeth enters the scene rubbing her hands as if she is washing them. The Gentlewoman reports that she has witnessed this behavior many times. As she rubs her hands, she speaks, and we learn that she is trying to clean off an imaginary spot of blood. This is what she means when she says "Out, damned spot!" The rest of the passage quoted in the question refers to her plot with Macbeth to murder King Duncan while he slept in their castle. "It is time to do't," she says, meaning the murder itself. Then she recalls (unconsciously, of course) how she challenged her husband's masculinity as he hesitated, saying, in effect, "you're a soldier, and you're afraid?" She claims that after the deed is done, they will become so powerful that nobody will be able to say anything about the way they rose to power: "What need we fear who knows it, when none can call our power to account?" But then she says, in effect, "who would have thought the King would bleed so much?" Overall, this speech reveals a woman wracked by guilt, driven to the point of madness by the weight of the evil deeds she has helped her husband carry out. 

What is the speaker's explanation of the raven's one response?

At first, the narrator accounts for the raven's one word, "'Nevermore,'" by thinking—logically—that "'what it utters is its only stock and store" (line 62); in other words, the bird speaks the only word that it knows. He assumes that the bird's owner must have endured a number of "unmerciful Disaster[s]" after which he spoke this word many times, and he believes that this must be how the bird learned the word (63).

However, the narrator begins to think that the bird's presence and speech might have some deeper meaning.  First, he wonders if God actually sent the bird to him to distract him from and help him to forget his grief over the "'lost Lenore!'" (83). Perhaps the bird is a kindness. He says to himself to enjoy this opportunity to forget his sorrow, but the raven replies, "'Nevermore,'" which enrages the speaker.

Then, he wonders if the bird is a "'devil'" sent to tempt him, perhaps, to his own death (85). Maybe the bird is a "'Prophet,'" he thinks, of death, and so he asks the bird if there's a chance that he will ever see his lost Lenore again, in the eternal life after death. The raven, of course, says, "'Nevermore,'" making the narrator very angry and desperate at the idea that he can never be reunited with his love.

How many German speaking newspapers were in St. Louis Missouri in 1910?

Until 1898, there were two German-speaking newspapers in Saint Louis.  The Anzeiger des Westen was founded in 1935 by Christian Bimpage.  The Westliche Post was founded in 1857 by  Carl Daenzer.  The two newspapers consolidated in 1898 to make for one German-speaking publication in Saint Louis.  After the consolidation, the newspaper retained the name Westliche Post and operated until 1938.  

The famed writer Joseph Pulitzer began his journalism career for the Westliche Post.  Pulitzer worked with the newspaper from 1867-1873 and it was quickly discovered how talented he was.  He eventually owned part of the newspaper before being bought out.  

The influence of the Westliche Post was national.  It was the most powerful and profitable German language publication in the United States.  Carl Schurz, one of the investors in the newspaper, was elected to the United States Senate.

What does everyone say is unusual when they arrive on the island?

Chapter Two describes the arrival of the eight guests on the island. The guests are met by Thomas and Ethel Rogers, the butler and cook/housekeeper respectively.

Agatha Christie lets us in on the thoughts of the guests as they arrive on the island. Most everyone thinks it is unusual that there will be only eight guests on the island and that they seem to be such a mismatched group. No one seems to have anything in common with each other, in terms of class, profession, or personal inclinations. Furthermore, what is even more unnerving to the guests is the fact that Mr. and Mrs. Rogers have never met their employers, the Owens. All the guests definitely find it unusual that neither the host or hostess is there to greet them as they arrive on the island; Justice Wargrave comes right out and voices his perplexity at this state of affairs to Dr. Armstrong.

One of the guests, Anthony Marston, finds it odd to be invited to the island to spend time with such a strange group of people. It's not his usual crowd, and he feels uneasy. Meanwhile, Vera finds it strange that Mr. and Mrs. Rogers arrived on the island only two days prior to everyone else's arrival. Dr. Armstrong and Justice Wargrave are immediately wary of each other when they meet; General Macarthur is equally suspicious of Lombard. Meanwhile, Emily Brent tells Vera that she has never met Mr. Owen, the man who supposedly invited everyone else to the island. Prior to everyone's arrival, Blore unwittingly makes everyone feel ill at ease when he says that they must not keep their hosts waiting.

At dinner, Anthony Marston comments about the ten little figures on the table. Vera then exclaims that the figures represent the ten little Indian boys of the nursery rhyme in her room. Subsequently, everyone proclaims that they have a copy of the rhyme hanging up in a frame in their respective rooms. It is not long after this when a strange voice lists all the crimes the ten people on the island have committed.

if you were to multiply 2973 and 2095 how would you set it out as a colum addition method? important parts in this question 2973 2095 colum...

Write the numbers in a column as mentioned below

                       2   9   7   3

                  X   2   0   9   5

Lets now find out the numbers which we need to add in column by multiplication.

1. Multiply 2973 by the unit's digit of second number i.e. 5, we get 14865. This is the first number of our column.

2. Multiply 2973 by 90,9 is in tens place. we get 267570. This is the second number of the column

3. Next digit is 0. So the result is also 0 for the multiplication by it.

4. Multiply 2973 by 2000, 2 is in thousands place, we get 5946000. This is the third number of the column

5. Now list down all these numbers as a column and add them.

                          1   4   8   6   5

                     2   6   7   5   7   0

             + 5   9   4   6   0   0   0 

                6   2   2   8   4   3   5

This is the required answer.