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What is Squealer's explanation for why the pigs must be given special foods? How do the other animals react to his explanation?

In Chapter 3, Snowball and Napoleon agree that the pigs should rightfully eat the apples and use the milk in their mash instead of equally distributing it among the other animals on the farm. Initially, the animals murmur and complain. Then, Squealer explains to the animals that pigs are "brainworkers" and are responsible for the management and organization of the entire farm. He says that science has proved that apples and milk are very nutritious and contain substances necessary to the well-being of pigs. Squealer then says that if the pigs failed to complete their duties, then Jones would return to the farm. Upon hearing the possibility of Jones' return, the animals say no more. They understand the importance of the pigs' health because they fear that Jones will come back if the pigs neglect their duties. The animals agree that the pigs' health is of the utmost importance, and do not argue about them taking the apples and milk. 

What are all the uses of figurative language in A Christmas Carol?

Since A Christmas Carol is a novel, it would be an arduous task to list every time Dickens uses figurative language. However, here are some examples that give a sense of how the author uses figurative language to create the mood and characterization in the novel. In the first paragraph of the novel, using a simile, Dickens writes, "Old Marley was as dead as a door-nail." Describing Marley, he uses pathetic fallacy: "No warmth could warm, nor wintry weather chill him. No wind that blew was bitterer than he, no falling snow was more intent upon its purpose, no pelting rain less open to entreaty." By attributing human emotions to the weather, and then comparing those harsh and obdurate feelings with those of Marley, Dickens gives readers insight into Scrooge's dead partner's character. When the charitable men call on Scrooge in chapter 1, much verbal irony ensues. For example, they state, "We have no doubt his liberality is well represented by his survivi...

Why is it significant that Jem had been crying?

In Chapter 7, Jem and Scout find several items in the knothole of the Radley tree. They find a ball of gray twine, two small figurines carved out of soap, a whole pack of chewing gum, a tarnished spelling bee medal, and a pocket watch with an aluminum knife. Jem tells Scout that he thinks they should write a letter to whoever has been leaving them the gifts in the knothole. They thank the mysterious person for leaving them gifts and sign their names. The next morning Jem goes to place the envelope into the knothole, only to find out that the knothole has been filled in with cement. The next day, Jem asks Nathan Radley why he filled the knothole with cement, and Nathan tells Jem that the tree was dying. He says, " You plug 'em with cement when they're sick. You ought to know that, Jem " (Lee 83). That evening, Jem asks Atticus if he thinks that the tree is dying. Atticus says, " Why no, son, I don't think so. Look at the leaves, they're all green and full,...

What are some literary devices used in the ghost's speech in Act 1, scene 5 in Hamlet?

When the ghost of Hamlet's father meets his son, he explains the circumstances of his murder and commands Hamlet to avenge it. In doing so, the ghost's lines include: Inversion:  "My hour is almost come, /When I to sulphurous and tormenting flames/Must render up myself." This inverted syntax was likely employed for metrical purposes. Simile:  And each particular hair to stand on end,/Like quills upon the fretful porpentine Here, the ghost tells Hamlet that if he could speak freely, what he would have to say would make Hamlet's hair stand on end, like quills on a startled porcupine. Allusion:  "And duller shouldst thou be than the fat weed/That roots itself in ease on Lethe wharf," Lethe was, in Greek myth, the spirit of forgetfulness, often associated with a river in the underworld.   Metaphor:  "The serpent that did sting thy father's life/Now wears his crown." The ghost uses a metaphor to identify Claudius, his murderer.  Claudius is the ...

What is demand?

Demand is a concept taught in economics.  It is used to describe a consumer's desire for a specific item or service.  Demand also includes that consumer's ability to actually purchase the item.  Because of that two-part definition, price has a large influence on demand.  For example, I really would like to own a Porsche someday.  I can't come close to affording one though.  My desire for the item is high, but my ability to actually purchase it is low; therefore, my overall demand is not that high.  Contrast that with a hamburger from  In-N-Out.   I really like those things, and I can afford them.  My overall demand is high.   Generally speaking, an increase in price tends to lower overall demand for an item.  Keep in mind too that aggregate demand and individual demand are two different things.  Individual demand is my demand (or yours) for a particular good or service.  Aggregate demand deals with a large market population.  I might not desire a particular product, but ma...

What are the two types of spiral galaxies?

Spiral galaxies have three parts: Bulge : The bulge is a spherical structure located at the center of the galaxy. Disk : The disk forms the "arms" of the galaxy and is composed of dust, gas, and younger stars. Halo : The halo is a spherical structure surrounding the bulge and part of the disk. It contains old clusters of stars. Spiral galaxies can be classified into two groups: Barred : In barred spiral galaxies, the arms emerge from a bar of material that runs through the bulge. Barred spiral galaxies are designated by the letters "SB".  Ordinary : In ordinary spiral galaxies, the arms emerge directly from the bulge. Ordinary spiral galaxies are designated by the letters "SA". Lower case letters are used to further classify spiral galaxies by the tightness of their arms.

How many photons are produced in a laser pulse of 0.401 J at 555 nm?

This question refers to a laser pulse, or electromagnetic radiation, with the wavelength of `lambda=` 555 nm ( 1 nanometer = 10^(-9) meter). According to the quantum, or particle, theory of light, a laser pulse is an emission of a number of massless particles called photons. Each photon has the energy equal to `E = hf` , where  h is the Planck's constant: `h = 6.626*10^(-34) J*s`   f is the frequency of the photon, or corresponding electromagnetic wave. The frequency and the wavelength are related as `f = c/lambda` , where c  is the speed of light: `c= 3*10^8 m/s` . (Please see the "Planck's hypothesis" section of the reference website cited below.) Then, if the pulse consists of N photons, its total energy would be  `NE=Nhc/lambda` . Then, for the pulse with the given wavelength and energy, we have `NE = 0.401 J = N*6.626*10^(-34)J*s *((3*10^8) m/s)/(555*10^(-9) m)` From here, `N = 3.36*10^18` . Approximately `3.36*10^18` photons are produced in the given laser pu...

Find the work done by the gas for the given volume and pressure. Assume that the pressure is inversely proportional to the volume. A quantity of...

Work i s done when a constant force F is applied to move an object a distance D . It is defined with a formula `W = FD.` For expanding gas, we denote the work done as `W =P* DeltaV.` With the stated assumption pressure is inversely proportional to volume , we let `P =k/V ` where k is the proportionality constant . Then plug-in `P = k/V` on `W =P* DeltaV` , we get: `W =k/V* DeltaV ` or `(kDeltaV)/V` The integral of work done  will be `W=int_(V_1)^(V_2)(kdV)/V` To solve for the proportionality constant `(k)` , we plug-in the initial condition: `P= 2500` pounds and `V_1= 1` on `P= k/V.` `2500 = k/1` `k = 2500*1 =2500` To solve for the work done by the gas to expand the volume, we plug-in `k=2500` , `V_1=1` , and `V_2=3` on `W=int_(V_1)^(V_2)(kdV)/V` . `W=int_(1)^(3)(2500(dV))/V` Apply basic integration property: `int cf(x)dx = c int f(x)dx` . `W=2500int_(1)^(3)(dV)/V` . Apply basis integration formula for logarithm. `W=2500 ln(V)|_(1)^(3)` Apply definite integral formula: `F(x)|_a^b = F(...

What effect did the Roman Catholic church have on the architecture of the middle ages?

The medieval period saw an enormous rise in power and wealth for the Catholic Church.  This was a time in which the people tithed 1/10th of their earnings to the church along with other payments for services like baptism, marriage, communion, etc.  Criminal law was also attached to the church which allowed the church to exact penance.  The wealthy often donated land to the church for the construction of churches and monasteries.  Due to the influx of money and land, the Catholic Church was able to build many churches during this period.  The largest churches were called cathedrals and they marked the landscape over all else in medieval cities.  Since they were built to inspire awe – they were often very tall, imposing structures that would make an impression on all inhabitants.  They were among the most expensive and lavish buildings built at the time, some taking hundreds of years to complete.  During the 12th century there was a new and very popular architectural style developed afte...

How or why is Mayella Ewell a mockingbird?

Mockingbirds symbolize innocent beings who bring joy to others, cannot defend themselves, and never do anything to harm anyone. Although Mayella Ewell does not strictly fit this definition because she harms Tom Robinson by accusing him of assaulting and raping her, Mayella is in many ways a symbolic mockingbird. She grows up in an abusive home, and it is suggested that her father, Bob Ewell, sexually molests her. She is also forced to take care of her siblings and do all the household chores by herself. Mayella is so busy taking care of her siblings that her social life suffers, which is why she has no friends. She is completely helpless, which connects to the defenseless nature of mockingbirds. Similar to how mockingbirds bring joy to others, Mayella also tries her best to keep her home clean and even plants red geraniums to beautify her trashy yard. Overall, Mayella can be described as a symbolic mockingbird because she is helpless and attempts to make her family happy, although she ...

How important is the ghost who appears in Act I of Hamlet?

The ghost of King Hamlet who appears in Act I is intrinsic to the plot and the character development of Prince Hamlet. It is the ghost of his father who alerts Hamlet to the murderous character of his uncle Claudius, as well as "the something rotten in Denmark"(1.4.99). Stirred greatly by his encounter with the ghost, Hamlet vows revenge; however, he moves at first only from one emotional soliloquy to another. For, his melancholic personality mulls over what his father's spirit has told him, and Hamlet feels he must prove that Claudius is, indeed, the murderer of his brother. Then, when the Dumb Show scripted by Hamlet proves that Claudius suffers guilt, Hamlet follows his father's murderer. But, as he sees Claudius in prayer, Hamlet hesitates because he does not want to make a martyr of his uncle: Now might I do it pat, now 'a is a-praying, And now I'll do't--and so 'a goes to heaven, And so I am revenged.... Why, this is hire and salary, not revenge....

What is a quote from Shakespeare's Romeo and Juliet that proves that Friar Lawrence had good intentions and is not at fault for Romeo's and...

Though Friar Lawrence makes some poor decisions, it is clear that his intentions are good throughout the play. For one, he seems to be a regular mentor for Romeo, as shown when Romeo arrives to his chamber after the Capulet party: "Romeo: Thou chid'st me oft for loving Rosaline. Friar Lawrence: For doting, not loving, pupil mine" (2.3.82-3). It seems that Friar Lawrence has been talking with Romeo often about his life and love and genuinely wants to care for and guide him. Second, Friar Lawrence clearly has motivation to end the feud that is causing so much strife and bloodshed in the city, as he seems to serve both families, judging by his familiarity with Juliet and the trust she places in him. For these two reasons, it is perfectly understandable that he would wish for a way to end the feud between the Capulets and Montagues and would see Romeo and Juliet's romantic feelings for one another as a way to do this. As he says, "In one respect I’ll thy assistant be...

How is Darzee's wife similar to Nagaina in "Rikki-Tikki-Tavi"?

Darzee and Nagaina are similar in the fact that they both recognize a threat to their family, and they are prepared to kill innocents to keep their family safe.   Nagaina is afraid of Rikk-tikki. She knows he is a natural predator to snakes. She knows her eggs are in danger as long as Rikki-tikki is around, so she comes up with a plan to get rid of Rikki-tikki. She and Nag will kill the humans. She knows that once the humans are gone from the house, Rikki-tikki is not likely to stay there.   "But are you sure that there is anything to be gained by killing the people?" said Nag. "Everything. When there were no people in the bungalow, did we have any mongoose in the garden? So long as the bungalow is empty, we are king and queen of the garden." Darzee's wife has the exact same attitude. She knows cobras are a threat to her and her eggs. She also knows a bunch of baby cobras is even more dangerous. That's why she has no problem with distracting Nagaina. While ...

How is the poet misunderstood by his own horse?

In Robert Frost’s “Stopping by Woods on a Snowy Evening,” the horse reacts to the driver’s pause in two places: My little horse must think it queer    To stop without a farmhouse near  (lines 5-6) and He gives his harness bells a shake    To ask if there is some mistake.  (lines 9-10) The horse is used to stopping only at some kind of building as a destination – to deliver something by carriage, or to visit someone’s house, perhaps. But here, its owner has stopped by a forest, just to watch the snow fall. He pauses long enough that the horse has to question the action, in the only ways it can. One could consider that the horse represents the practical and business-dealing side of life, and the driver represents the human aspect: the appreciative, artistic, romantic, and emotional side of life. Both sides meet at this edge of trees during a snowfall. I don’t believe the poet is necessarily misunderstood by the horse as much as he is questioned . "Why are we stopping? There’s nothi...

How did the poet Ellery Channing inspire Henry David Thoreau's writing?

Henry Thoreau’s best friend when he was young was his brother John. The two taught school together, went on a lengthy boat trip together, and even fell in love with the same woman. (She turned them both down.) Tragically, John died unexpectedly in January 1842. Ralph Waldo Emerson was Thoreau’s mentor, but he was also fourteen years older than his younger disciple. Theirs was a different kind of friendship. When Transcendental poet Ellery Channing moved to Concord, Massachusetts in 1842, he became Thoreau’s walking companion and one of his good friends. By 1845, Thoreau longed to dedicate himself to his writing. He especially wanted to write a book about the boat trip that he and John had taken, years before. He made his frustrations known in a letter to Channing, who was then working for the Tribune in New York. Channing wrote back to Thoreau on March 5, 1845: I see nothing for you in this earth but that field which I once christened “Briars”; go upon that, build yourself a hut, ...

In "The Scarlet Ibis," what is Hurst suggesting about how conflict and conformity affect the outcome of the story?

In James Hurst's short story, "The Scarlet Ibis," the tragic outcome of Doodle's death is a result of both the narrator's desire for conformity and the conflict that ensued between Doodle and the narrator based on this desire.  Doodle knew he was being pushed beyond his limits. Brother, the narrator, had rushed him to Horsehead Landing for more training, and that exertion by itself was extremely difficult for Doodle. Brother doesn't pay much attention to the signs that Doodle is giving him that the exertion is too much. He is completely focused on his goal. His goal is that Doodle will be like every other boy in his class, thus conforming to society's expectations of what a boy his age should be able to do. Here is the textual evidence:  "Time was short, and Doodle still had a long way to go if he was going to keep up with the other boys when he started school. The sun, gilded with the yellow cast of autumn, still burned fiercely, but the dark green w...

What is the most frightening moment in "The Monkey's Paw"?

The most frightening section of W.W. Jacobs' short story "The Monkey's Paw" is just after Mr. White has acquiesced to his wife and used the second wish to bring Herbert back from the dead. At first they don't think the wish will be fulfilled because nothing happens. Then Mr. White hears a noise. He lights a candle and starts downstairs. The knock is initially "quiet and stealthy" and it so surprises Mr. White that he drops the box of matches. Jacobs creates a good deal of suspense as the reader is not sure who or what is knocking. Obviously petrified, Mr. White insists it's a rat on the stairs and flees back to the bedroom. He realizes that his son is now a hideous corpse, badly disfigured by the accident which claimed his life. It has taken time for the zombie-like Herbert to make his way from the cemetery two miles away. Mr. White desperately attempts to prevent his wife from going to the door but she breaks free as the knocking on the door becomes...

What are some techniques or language features in Robert Frost's "The Road Not Taken" that show that the success of a journey depends on the traveller?

The continued emphasis on the traveller is our first clue that the success of a journey depends on the traveller himself. In line three, the speaker admits he is but "one traveller" who stands at a crossroads. The choice of which path to take is entirely up to him, and he weighs both his options equally in the first and second stanzas of the poem. When the speaker decides to take the road less travelled, the repetition of the word "I" in lines 18 and 19 puts further emphasis on the individual: "Two roads diverged in the wood and I -  I took the one less travelled by..." The repetition of the word "I" at the end of line 18 and the very beginning of line 19 is proof that a journey - whether or not to take it, where to go, etc. - depends entirely on the individual. The inclusion of a hyphen at the end of the line creates a pause that requires the reader to linger on the individual as well. The final line of the poem also contributes to the idea th...

Why do you think the house is empty in the story "There Will Come Soft Rains"?

The automated house in Ray Bradbury's futuristic short story "There Will Come Soft Rains" is empty of people because the city has been destroyed by a nuclear attack. In the story's text, the paragraph which begins "Ten O'Clock" tells the reader that the house stood alone in a "city of rubble and ashes." In the next paragraph, Bradbury describes silhouettes of four people, a man, woman, and two children—most certainly the inhabitants of the house who perished in the blast as they participated in outside activities. These silhouettes are similar to those recorded on the walls of buildings after the atomic detonations at Hiroshima and Nagasaki at the end of World War II. The only sign of life, other than the machines, is the family dog, who inevitably dies of radiation poisoning. Despite the absence of humans in the house, the automation goes on with its normal day, preparing breakfast, making announcements, cleaning, and setting up the day's ...

What is your definition of a college environment?

What an interesting question! I would have to say that the college environment incorporates all external factors related to attending college. This means that the environment is not only the physical space of attending college, such as dormitory rooms and the campus green, but the social and biological factors as well. The social environment of college is quite different from anything a student is likely to have experienced before or ever will experience again. College students are typically young adults exercising new-found independence and liberties. Lots of people try to "figure out" who they are during college by trying new hobbies, attending social events, and testing the boundaries they had previously set for themselves. Compared to primary schooling, the social bubble of college life is much larger, yet still somewhat enclosed.  In terms of the biology of college life, many changes may happen at this time! Personally, I've observed that many people come down with d...

Describe the relationship between Raymond and Squeaky in "Raymond's Run."

In Toni Cade Bambara's short story, "Raymond's Run," Squeaky, whose real name is Hazel Elizabeth Deborah Parker, is the younger sister of Raymond, who is mentally challenged. Squeaky's main job is to take care of Raymond, and he goes everywhere with her. Raymond admires Squeaky, and Squeaky is fiercely protective and proud of Raymond.  Sometimes I slip and say my little brother Raymond. But as any fool can see he’s much bigger and he’s older too. But a lot of people call him my little brother cause he needs looking after cause he’s not quite right. And a lot of smart mouths got lots to say about that too, especially when George was minding him. But now, if anybody has anything to say to Raymond, anything to say about his big head, they have to come by me. The above quote shows Squeaky's protective qualities. She also shows these throughout the story with the things she does to keep Raymond safe. He doesn't have much regard for safety, and can't underst...

What body systems are working when one is asleep?

The body never truly rests. Even if we are unaware of it, our nervous system is active during this time. In fact, our brain is responsible for monitoring the entire sleep cycle. In particular, we dream during the REM cycle. We may not always remember them, but we always dream. During the REM cycle, our eyes move. In fact, the REM cycle is named after our eye movements. REM stands for rapid eye movement. The eyes are part of our sensory system . We never stop breathing when we rest, so our respiratory system continues to function. At the most, our breathing will become irregular or slowed. Our blood (part of the circulatory system ) also continues to circulate throughout the body. During stages 3 and 4 of the sleep cycle, our blood pressure will drop. Most people will toss and turn in their sleep so both the muscular and skeletal systems continue to function. In particular, blood circulation to the muscles will increase during the 3rd and 4th stages. It is worth noting that your body...

Characterize the relationship between Macbeth and Lady Macbeth. If the main theme of Macbeth is ambition, whose ambition is the driving force of...

The relationship between Macbeth and Lady Macbeth is fascinating, and it is generally based on mutual respect and, as the play progresses, a mutual desire for power. As such, it would be most accurate to say both characters are ambitious and work together to secure the throne of Scotland, although Macbeth could not have gone through with the bloody plot without his wife's encouragement and help. Macbeth is intrigued by the Weird Sisters' prophecy and wants to kill Duncan to gain power, but he lacks the conviction to go through with the murder. Lady Macbeth is as ambitious as her husband, however, and convinces and helps him to carry out his violent plans.  Based on this context, it's difficult to say which character's ambition is the driving force of the play. Macbeth has the ambition for power and ultimately kills Duncan, but he wouldn't have acted upon his desires if it wasn't for Lady Macbeth's potent lust for power. As such, I think it would be most accu...

What impact would the extinction of the Hawksbill sea turtle have on the environment? Why should we protect it?

The Hawksbill sea turtle belongs to the family of sea turtles known as Cheloniidae. This turtle is found in tropical reefs that lie along the Indian, Pacific and Atlantic oceans. Adult Hawksbill turtles can weigh 45 - 68 kilograms and their average shell length is 76 cm. These turtles have a lifespan between 30 to 50 years. The Hawksbill turtle is a critically endangered species. The main reasons behind the decline in their number is over-exploitation, loss of habitat, oils spills and other forms of marine pollution. These turtles have a beautiful translucent shell that can be used to make jewellery and ornaments. The high demand for products made using their shells in many European and Asian nations has led to the capture of a large number of turtles which is not sustainable. Newly hatched sea turtles rely on the natural light of the moon to find their way to the oceans. They are unable to do this in the presence of artificial lights used in resorts that have been created along the co...

State one disadvantage of having an electrical circuit.

An electric circuit consists of a closed path through which charge carriers flow. Given the wide-spread application of electricity, there are numerous advantages of electrical circuits. However, there are a number of disadvantages as well, most importantly the risks of health hazards. In simple words, if something were to go wrong with the electrical circuit, there are chances of serious injuries (even death) to human beings and other life forms. Electric shocks take place when our body becomes a part of the circuit. For example, this could happen to someone operating an electrical device while in the shower or touching a non-insulated wire. Short circuiting is another issue that may have health implications. It happens when the resistance in the circuit becomes very low and causes excessive heat generation and even fires, thereby destroying the electric source. This can start fires which could be very damaging to property and human beings. Hope this helps.

What are the strengths, flaws, and motivations of Abigail Williams in The Crucible?

Abigail's strengths include determination and intelligence.  She is determined both to win back her former lover, John Proctor, as well as to exact revenge on any in her community who have impugned her reputation.  It seems likely that, once Abigail saw the power granted to Tituba to make accusations, she realized that she, too, could possess such a power, as she began, cleverly, to make accusations immediately afterward herself.  She is dedicated to John, so much so that she attempts to rid him of his wife, Elizabeth, by accusing her of witchcraft. Abigail's flaws include dishonesty and selfishness.  Out of her dedication to John and her determination to justify herself to the community, Abigail tells  lies that result in the death and imprisonment of many people.  She selfishly puts her desire to be with John over the well-being of countless others, essentially murdering them to gain power for herself. Abigail is motivated by love/lust and a desire for power.  When Parris ask...

`lim_(x->0)arcsinx/x` Evaluate the limit, using L’Hôpital’s Rule if necessary.

Given to solve, `lim_(x->0)arcsinx/x` as `x-> 0` we get `arcsinx/x = 0/0 ` form so upon applying the L 'Hopital rule we get the solution as follows, as for the general equation it is as follows `lim_(x->a) f(x)/g(x) is = 0/0` or `(+-oo)/(+-oo)` then by using the L'Hopital Rule we get  the solution with the  below form. `lim_(x->a) (f'(x))/(g'(x))` so , now evaluating `lim_(x->0)arcsinx/x` =`lim_(x->0)((arcsinx)')/((x)')` as we know that `(arcsinx)' = 1/(sqrt(1-x^2))` so, =`lim_(x->0)(1/(sqrt(1-x^2)))/(1)` =`lim_(x->0)(1/(sqrt(1-x^2)))` upon plugging the value` x=0` , =` (1/(sqrt(1-(0)^2)))` `= 1/sqrt(1)` = `1`

How did the weaknesses of the Provisional Government in Russia lead to its own demise?

To answer this question, you need to be able to explain what about the Provisional Government in Russia made it so unpopular. The czar was deposed because he was hated by the Russian people, especially the poor. One would think that the Provisional Government would have attempted to address some of the issues that the people had with the Czar, but that was not the case. In fact, the new government was so unpopular with the Russian people that Vladimir Lenin was able to orchestrate a bloodless coup in St. Petersburg by the end of the year. The major problem in Russia was its participation in World War I. The Provisional Government decided to continue its involvement. The defeats at the hands of Austria in June caused more animosity. Many soldiers deserted and were hunted down and executed. Aside from the battle deaths that were mounting, the war caused severe food and fuel shortages. The Provisional Government was not able to solve this issue either. Another weakness of the Provisional ...

`int (tan^2x)/secx dx` Find the indefinite integral

`int(tan^(2)(x))/sec(x)dx` Transform the numerator of the integral by using the following trigonometric identity: `tan^2(x)=sec^2(x)-1` `int(tan^2(x))/sec(x)dx=int(sec^2(x)-1)/sec(x)dx` `=int((sec^2(x))/sec(x)-1/sec(x))dx` `=int(sec(x)-cos(x))dx` Apply the sum rule: `=intsec(x)dx-intcos(x)dx` use the following common integrals: `intsec(x)dx=ln|sec(x)+tan(x)|+C` and `intcos(x)dx=sin(x)+C` `=ln|sec(x)+tan(x)|-sin(x)+C`

What happened after the death of Macdonwald?

According to the Captain with whom King Duncan speaks in Act 1, Scene 2, Macbeth bravely confronts the traitor, Macdonwald, stabbing him in the navel and ripping him open all the way up to his jaw.  After Macbeth "unseamed" his foe, Macbeth placed Macdonwald's head on a spike on the battlements so that all can see what becomes of a traitor (1.2.24).  However, the Captain continues, Macbeth and Banquo were not done fighting yet: after the battle against Macdonwald's rebel forces was over, the rebels having fled the scene, the king of Norway saw his opportunity to attack when the loyal Scottish forces were tired and weakened.  Thus, the king ordered a new attack, with fresh soldiers, on Macbeth's army.  Although Macbeth and Banquo were clearly worried, they were victorious in this battle as well.

Do you agree with Jerome's observation that he is a hospital in himself in Three Men in a Boat (To Say Nothing of the Dog)?

This reference appears in the opening pages of Three Men in a Boat . The narrator tells us about a time when he went to the British Museum to discover a treatment for hay fever. He picked up a medical book to find the answer, and then began to read up on other ailments. To his horror, he discovered that he had the symptoms of almost every disease or malady that was listed. At first he thought this status would make him a perfect example for medical study, since he suffered from everything. “What an acquisition I should be to a class! Students would have no need to ‘walk the hospitals,’ if they had me. I was a hospital in myself.” Then he began to worry about himself and his real health. This story shows us early on that the narrator tends to exaggerate, to react disproportionately to situations, and to become distracted by side stories and tangents. Did he really suffer from all of these diseases? No. Therefore, we need not agree with his projected metaphor about being a hospital in hi...

In The Strange Case of Dr. Jekyll and Mr. Hyde, why does Robert Louis Stevenson have Enfield and not Utterson describe the assault?

It is probable that Robert Louis Stevenson gave the task of explaining the assault to Mr. Enfield rather than Mr. Utterson because Mr. Enfield, as "the well-known man about town," is likely to be a better storyteller than Mr. Utterson.  As a man about town, Mr. Enfield is going to be quite comfortable in social situations, a good talker, and an engaging raconteur; Mr. Utterson, on the other hand, is a lawyer who would be more used to telling the straight facts, devoid of excess description, suspense, or impression.  Indeed, the narrator describes Mr. Utterson as not being very talkative at all, saying, Mr. Utterson the lawyer was a man of rugged countenance, that was never lighted by a smile; cold, scanty, and embarrassed in discourse [...].  At friendly meetings, and when the wine was to his taste, something eminently human beaconed from his eye; something indeed which never found its way into his talk [...]. Thus, Mr. Utterson seems to speak with economy, and though he is b...

How do the numbers of electrons compare in two isotopes of an element?

Isotopes are atoms of an element that have the same atomic number, but different atomic masses. For example, U-235 and U-238 are two isotopes of the element uranium. They have the same atomic number (92), but different mass numbers (235 and 238). The atomic number is the same as the number of protons.  Thus, the number of protons of uranium = atomic number of uranium = 92. The mass number is the sum total of number of protons and neutrons. Thus, number of neutron = mass number - number of protons = 235 - 92 = 143 and, 238 - 92 = 146. Thus, the isotopes have same number of protons, but different numbers of neutrons. Since the number of electrons is equal to the number of protons for an atom in the ground state, the number of electrons will be equal for all the isotopes of an element (for example, for the two isotopes of uranium, the number of electrons is 92). Thus, the isotopes of an element differ only in terms of the number of neutrons and not in terms of the number of protons or ele...

Why were the discoveries of European exploration important to the United States?

The period of European exploration led to the colonization of the Americas. Initially, the explorers were trying to find a passage from the east coast of the new world to India for trade. In the process, the British stayed behind and planted colonies in the land that would become the United States. In the earliest part of the Seventeenth Century, Jamestown would become the first permanent settlement in the area that would become the United States. In the next century, British colonies would be established up and down the east coast. The impact of settlement in the United States affected three major groups. The Native Americans lost most of their land and perished by the millions because of European colonization. The Europeans, particularly the Dutch and British, benefited in an enormous way by creating new markets and lands for resources. This benefit led to the continued belief in wealth through world trade and imperialism. A third group that was affected by European colonization were...

`(1,2) , (7,10)` Find the distance between the two points using integration.

 Given the equation of a line `y = mx + b,` => slope = `dy/dx = m` . Thus, the distance is: `L = int_a^b sqrt(1+(dy/dx)^2) dx` where `a<=x<=b` we know the two points `(x_1,y_1)=(1,2)` `(x_2,y_2)=(7,10)` `m = (y_2- y_1)/(x_2-x_1) = (10-2)/(7-1) = 8/6=4/3` so now the length is` L = int_1^7 sqrt(1+(4/3)^2) dx`  =` int_1^7 sqrt(1+(16/9)) dx`  =` int_1^7 sqrt(25/9) dx` = `int_1^7 (5/3) dx` = `(5/3) int_1^7 1 dx`  = `(5/3) |_1^7 x` =` (5/3)[7-1]` =` (5/3)6 = 5*2 = 10` so the distance between the two points = 10

`8^x=20` Solve the equation.

To solve the given equation `8^x=20` , we may take "ln" on both sides of the equation. `ln(8^x)=ln(20)` Apply natural logarithm property: `ln (x^n) = n*ln (x)` . `xln(8)=ln(20)` Divide both sides by `ln(8)` . `(xln(8))/(ln(8))=(ln(20))/(ln(8))` `x=(ln(20))/(ln(8)) or 1.441` (approximated value). Checking: Plug-in `x=1.441` on `8^x=20` . `8^1.441=?20` `20.01 ~~20`  TRUE Thus, the `x=(ln(20))/(ln(8))` is the real exact solution of the equation `8^x=20` .

In what ways does the corn kernel differ from the bean seed?

Corn and bean plants both fall under the classification of angiosperm, or flowering plants. Each of these plants create a flower that, once fertilized, create the vegetable or fruit we harvest later for food. The major differences between the two can be summed up by their individual classifications: monocot and dicot.  Monocots are angiosperms that have only one cotyledon in their seed. These cotyledons are the early or first leaf that comes from a plant once it begins to grow.  You can see this in a corn kernel when you cut one open, as it has one large lobed area inside instead of segments. Once grown, the plant itself also has many other differences that make it a monocot, but if we are only worrying about the kernel vs. the bean, this would be the most important distinction.  Dicots, on the other hand, have two cotyledons inside of each seed. If you were to cut open a bean (think lima bean, kidney bean, etc.) you would see two large lobes on either side of the centerline of the see...

What characters show empathy in To Kill a Mockingbird, and how do they do so, using quotes?

Empathy is a theme throughout To Kill a Mockingbird .  Three characters in particular show empathy in the novel. Atticus Finch thinks that empathy is important.  He wants to instill empathy into his children, Scout and Jem.  Throughout the novel, Atticus tells his children to walk in the shoes of someone else.  Below are some examples: Atticus said I had learned many things today, and Miss Caroline had learned several things herself.  She had learned not to hand something to a Cunningham, for one thing, but if Walter and I had put ourselves in her shoes we'd have seen it was an honest mistake on her part .  We could not expect her to learn all Maycomb's ways in one day, and we could not hold her responsible when she knew no better (Chapter 3). "Jem, see if you can stand in Bob Ewell's shoes a minute .  I destroyed his last shred of credibility at that trial, if he had any to begin with" (Chapter 23). Miss Maudie is Scout's neighbor.  She is an understanding pe...

What are the intensive, physical, and chemical properties of matter?

Your question could be broken down into two categories: physical versus chemical properties, and intensive versus extensive properties. Physical properties of matter have to do with features that can be measured and with the material by itself.  Some examples include melting and boiling points, color, density, state of matter at SATP (gas, liquid, solid), odor, conductivity, hardness, etc.  Chemical properties have to do with how the substance interacts with other substances.  Examples include combustibility or reactivity with acids/bases. Notice that the chemical examples require another substance to be present to interact (or not) with the material you are studying. Extensive and intensive properties are further sub-categories of physical properties.  Intensive properties do not depend on the amount of matter.  Things like hardness, color, odor, and density fit in here.  Extensive properties are dependent on the amount of the material.  This includes things like mass and volume.

Discuss your view/opinions on the character of Portia from The Merchant of Venice with reference to the trial scene.

In the trial scene, the disguised Portia demonstrates resolve and wit. She also shows either foolhardiness or courage in choosing to represent Antonio. His life is in her hands. Portia begins her argument by establishing that the bond between Shylock and Antonio must be upheld, but she appeals to Shylock’s mercy. Her description of mercy’s beauty and power reveals a poetic and insightful spirit. When Shylock does not bend, Portia asks whether the bond can be repaid. Shylock rejects the money, so Portia concludes, “there is no power in Venice / Can alter a decree established.” Apparently, she does not wholly believe in mercy after all because she does not argue that the law should be merciful. She says that breaking the law would set an unfortunate precedent. After pleading with Shylock, Portia seemingly gives up, telling Antonio, “prepare your bosom for his knife.” Just in time, she prevents the act and points out that the bond allows for a pound of flesh but no blood. Moreover, she sa...

What is the tone in chapter 28 of To Kill A Mockingbird?

This is the chapter in which Jem and Scout are attacked as they cross the dark schoolyard on their way home from the pageant. The tone is ominous. It is a tone of slowly building tension and confusion. Even after the attack happens, the tension and confusion do not completely dissipate. They continue until the end of the chapter, when we find out from Mr. Heck Tate that Bob Ewell attacked the children, and that Bob Ewell has been stabbed dead. The ominous tone is created against a homey backdrop. There is humor in the first few pages of the chapter, when Mrs. Merriweather narrates her overblown pageant about Maycomb County, and Scout blunders onto the stage, late, in her ham costume. Before the children even get to the pageant, Harper Lee has already given us clues this will be a scary evening.   On the way to the school, walking by the old Radley place, Jem and Scout discuss how they used to be scared of Boo Radley and haints. Scout, in her narration, adds, "Haints, Hot Steams, i...

What four nouns begin with the letters "i," "x," "z," "u," "q," and "y" in the novel The Cay?

We can find nouns in the story by looking for words for people, places, and things. For example, here are all the nouns in the first sentence of the story: sharks darkness sea submarines  middle night Although it won't be possible to find four examples for each of the letters you listed, we'll do our best! If all you need is four examples from any of those letters, how about "island," "U-boat," "Queen Emma," and "yard" ? First, let's look for nouns starting with "i." You'll find "island" and "islands," as well as "inside" (which can also sometimes be a preposition) and, if you're hard-pressed to name a fourth, the "Indies" in the name "West Indies." Although the letter "I" appears perhaps a thousand times or more in the narration, it's usually a pronoun: Phillip telling the story, saying "I" to name himself. For the letter "x," you...

In Chapter 3 of The Midwife's Apprentice by Karen Cushman, we read that "In the afternoon Beetle left the village for the woods, where she gathered...

The midwife sent Beetle into the woods to collect items for her.  Beetle "gathered honey, trapped birds, and collected herbs, leeches, and spider's webs" ( The Midwife's Apprentice , pages 12-13).  These items were used as remedies during a woman's labor.  For example, the webs were used "for staunching the blood" (page 13).  The herb sage was used to create a tea if the mother was producing too much breastmilk.  The midwife had a different remedy for almost anything that could go wrong. Slowly, the midwife gave Beetle more responsibilities.  Soon Beetle was always gathering the ingredients for various remedies.  She also created medicines from the ingredients.  Beetle also became the one who packed up all the remedies needed from the midwife's house when they were about to leave for a birth.  Even though Beetle did many things to help the midwife, the woman still treated the girl as if she were stupid and lazy.

What does the dialogue between Roger and Mrs.Jones, as well as their actions, reveal about their character traits in "Thank You, Ma'am"?

The dialogue between Roger and Mrs. Jones reveals that they each know something about the other automatically, yet they also have something to learn. Mrs. Jones, who walks home late at night, is familiar with the danger that she faces by doing so. Consequently, she has her purse weighted down with "everything but a hammer and nails" and is prepared to defend herself against purse snatchers. When Roger tries to steal this purse, she overpowers him, but realizes quickly that he is not really what might be termed a juvenile delinquent. For, Roger is polite when she asks, "Now, ain't you ashamed?" and he replies, "Yes'm." The woman said, “What did you want to do it for?” The boy said, “I didn’t aim to.” She said, “You a lie!” Although Mrs. Luella Bates Washington Jones is angry that this boy has tried to steal her purse, she is understanding of the boy. She tells him: “But you put yourself in contact with me,” said the woman. “If you think that that co...

What are Lady Capulet's reasons for trying to persuade her daughter to consider marriage?

In Act One, Scene Three of Romeo and Juliet , Juliet is subject to some unpleasant questioning from her mother. Lady Capulet wants to know what Juliet thinks of getting married, to which Juliet responds, "It is an honour that I dream not of." Lady Capulet thinks this is a ridiculous response and asks Juliet to re-consider. She cites several reasons, including the fact that many young women younger than Juliet have already been married and bore children (including Lady Capulet herself when she was Juliet's age): ...younger than you, Here in Verona, ladies of esteem, Are made already mothers: by my count, I was your mother much upon these years That you are now a maid. Lady Capulet is also very enthusiastic about Juliet's suitor: "[t]he valiant Paris." Lady Capulet believes that Paris is a wonderful match for Juliet since he is handsome, young, and in need of a wife. Lady Capulet thinks Juliet, who is also fittingly beautiful, will obtain much admiration if sh...

How can you frame Jem Finch for the murder of Bob Ewell in To Kill a Mockingbird?

It probably would have been easy for Atticus and Heck Tate to say that Jem killed Bob Ewell, rather than tell everyone he fell on his knife.  They did not want to tell people that it was Boo Radley that killed him, because they did not want Boo to be in the public eye. If you wanted to frame Jem for Ewell’s death, it would be pretty easy.  When Bob Ewell is killed, Atticus first assumes that Jem is the one who killed him.  He is so upset by the events that he can’t even remember how old Jem is.  He tells Sheriff Tate that it was self-defense, and Jem would be tried in a county court. Sheriff Tate does not think that Jem killed Bob Ewell. “Mr. Finch, do you think Jem killed Bob Ewell? Do you think that?” “You heard what Scout said, there’s no doubt about it. She said Jem got up and yanked him off her—he probably got hold of Ewell’s knife somehow in the dark… we’ll find out tomorrow.” (Ch. 30)  There is limited evidence, but Atticus seems to think that the evidence that Jem pulled Bob Ew...

What challenges does Percy Jackson face in chapter 8 of The Lightning Thief?

Percy faces many challenges throughout chapter 8. The first challenge that we see is his struggle to find where he belongs in this new world. He has not yet been claimed by his father, so everyone is watching to see what happens. Percy becomes more bitter about this as time goes on: "So okay, maybe gods had important things to do. But couldn't they call once in a while, or thunder, or something? Dionysus could make Diet Coke appear out of thin air. Why couldn't my dad, who-ever he was, make a phone appear?" Often, demigods specialize in a skill that is related to their immortal parent. So he begins exploring different activities such as archery (associated with Apollo) and metal working (associated with Hephaestus). He fails at everything he tries. Eventually, he finds some success in swordplay, which is its own special challenge. His teacher is Luke, who is the best sword fighter in 300 years. Percy has never lifted a sword before, and first has to spar with Luke. Ye...

In The Giver, what decision is made as a result of the climax?

In my view, the climax of this novel, or the most tense and most exciting part, is when Jonas learns that the baby Gabriel has been scheduled for release. As a result of this, instead of following the careful escape plan that he and The Giver had plotted out, Jonas decides to sneak out of the community immediately and take Gabe with him. All this happens in Chapter 21, toward the end of the novel: It would work. They could make it work, Jonas told himself again and again throughout the day. But that evening everything had changed. ... That night, Jonas was forced to flee. Up until this point, Jonas and The Giver had worked out a plan for Jonas to escape safely from the community on his own and to allow the memories to leak from his mind into the minds of the other citizens. The Giver would remain behind and help them all deal with those memories, after which, if all went well, the community would decide to trade Sameness for everything it was missing: music, colors, love, individuality...

What are your feelings about "human engineering"-that is, changing person intelligence or personality by using science? Explain your opinion,...

After reading Flowers for Algernon , I see the terrible  human impact of “personality engineering.” I see that Charlie suffered incredible emotional trauma after being manipulated by personality engineering. I see that he felt a lack of control over his own life due to the shifting effects of the experiment and came to rebel against the very scientists who thought they were his saviors. His escape from Dr. Strauss and Dr. Nemur illustrates this. I also infer that personality engineering is harmful not only to its subject, but to the subject’s family, friends, and loved ones. These people may be shocked and hurt by changes in the person they loved. Alice Kinnian’s character arc illustrates this. She originally supported Charlie’s operation but quickly became overwhelmed and confused by her friend’s new personality. Since Keyes so readily persuades me to sympathize with his main character, after only reading Flowers for Algernon , I might have a dim view of personality engineering. Howev...

How can we summarize the story that Kit tells in Chapter Three of The Witch of Blackbird Pond?

Upon arriving at her new home in Wethersfield, Kit explains to her Puritan family how she got there and why she came alone. Kit describes how her grandfather's health had been gradually failing, worsened by the thievery of an overseer named Bryant who had sold off their crops and disappeared with the money. After her grandfather died, Kit was forced to sell off all of his land, his house, his furniture, and his slaves. Even then, she still did not have enough money to pay for her passage to Connecticut, and so she was forced to sell off her personal slave, who had been with her for twelve years. She reveals that she had not come to Wethersfield for a visit, as she had initially claimed, but rather to remain there permanently with the family.  Aunt Rachel is very sympathetic to this story, but Uncle Matthew expresses some serious hesitation in letting this strange and extravagantly dressed girl live with his family. Nonetheless, what is done is done, and since Kit has come so far, s...

Why has the narrator returned to her childhood home in "The Leap"?

The narrator of Louise Erdrich's "The Leap" returns to her childhood home in order take care of her mother, who has lost her eyesight. Certainly, the daughter feels that she is obligated to care for her mother. For, she states that she owes her life to her mother three times. If her mother had not saved her own life when the circus tent lightning struck it, the daughter would not have been born. If her mother had not gone to the hospital where her father cared for her as the doctor, she would not have been born. If her mother had not rescued her as only she could, the daughter would have died in the house fire. The narrator has a marvelous mother who heroically saves her daughter's life when the farmhouse catches fire. In fact, only she can effect this rescue because the steps to the bedroom are consumed by fire. So, the mother must climb a tree, go out onto a branch and jump upon the roof, then hang upside down and ask her daughter to open her bedroom window so that ...

Why do some writers choose poetry over fiction or autobiography when writing about their experiences? What can poetry offer an artist that other...

One of the best advantages of poetry over any kind of prose is its conciseness. Because all the excess words have been squeezed out, the message left on the page is so much more concentrated.  Any imagery or emotional effect that the author wants readers to respond to is right there, standing out in a very visual format, not buried in a chapter somewhere.  Also, by its very nature poetry is designed to draw emotional responses out of us.  We expect the author to give us vivid imagery, to put us through emotional experiences that we either relate to in our own way, or experience vicariously through the author’s words. Because Siegfried Sassoon was writing about his very graphic, emotional, and often controversial experiences in and beliefs about World War I, perhaps he felt that the world would accept his autobiographical account of it in poetry form better.  Such a deeply passionate experience as fighting in and surviving a world war seems fit for the poetry genre by its very nature. F...

How would you write five original poems about Chains by Laurie Halse Anderson?

I would first choose the type of poem that I might have a chance at writing.  I'm not a great poet, so I would pick a poetry form that is fairly simple.  For example, I would not be choosing to write Shakespearean sonnets about  Chains. I do not think I am capable of writing 14 lines in iambic pentameter with ABABCDCDEFEFGG as the rhyme scheme.   I would choose something like a haiku.  It's three lines long with a straightforward syllable count per line.  Plus, a haiku doesn't have to rhyme.   The question states that you need to write five poems about the novel.  I recommend writing acrostic poems because it is an incredibly simple format.  An acrostic is defined as the following: An acrostic poem uses the letters in a word to begin each line of the poem. All lines of the poem relate to or describe the main topic word.  There are plenty of words and characters available to use as the acrostic starting place.  I would write one acrostic using Isabel's name.  I would a...

In "An Occurrence at Owl Creek Bridge," how does the interaction between Farquhar, his wife, and the soldier contribute to the plot of the story?

The part of the story that the question is asking about is part two of the story.  I've always liked how "An Occurrence at Owl Creek Bridge" doesn't tell the story is a linear, chronological manner.  Part two is a flashback.  Part one explains that there is some guy about to be hanged from a bridge.  Part two gives the backstory to that guy on the bridge.   His name is Peyton Farquhar.  He's married, and he is a plantation owner.  Readers are told that he longs to partake in the war in some manner.   . . . he chafed under the inglorious restraint, longing for the release of his energies, the larger life of the soldier, the opportunity for distinction. The "gray-clad soldier" gives Farquhar just such an opportunity.  Farquhar and his wife are sitting outside of their house when the soldier rides up.  Mrs. Farquhar quickly goes to get the solider a drink.  While she is inside, the solider tells Farquhar that Union troops are at the Owl Creek bridge.  The s...

What did Sherlock take as a reward from the king of Bohemia?

If you read the last page of this story, the answer seems straightforward. The king says he is "immensely indebted" to Holmes for solving his problem and asks how he may reward the detective. He offers Holmes an emerald ring, but Holmes demurs, saying "Your Majesty has something which I should value even more highly." Holmes says he wants the photograph he obtained from Irene Adler -- the same photograph that the king had hired Holmes to retrieve. The king seems amazed that Holmes requests so little and is happy to comply. The event reveals something about Holmes' character. Holmes, who usually takes no personal interest in women, wants a memento of Irene Adler. She outsmarted him, and he holds her in high esteem. He indicates, sarcastically, that she is on a "very different level" than the king. Asking to keep her photo seems to be a rare instance of sentimentality on his part. It also seems like a very extravagant gesture, because he might have asked...

What is the longest river in the world?

The Nile River, which flows through eastern Africa, is generally considered the longest river in the world.  There is some debate, however, on this topic.  Some researchers say that the Amazon is the longest river in the world. The source of the Nile River is Lake Victoria in Tanzania.  The river flows north for over 4,000 miles through many East African countries.  The country that is usually associated with the Nile River is Egypt.  Ancient Egyptians relied heavily on the Nile River for defense, agriculture, and trade.  The Nile River is still important today for the agriculture of the countries it flows through. The Amazon River is also over 4,000 miles long. It flows through many countries in South America.  Scientists studying the Amazon River have debated about its source.  Recent studies state that the source of the Amazon River is the Mantaro River in Peru.

At the outset of the novel "Three Men in a Boat," what were the three men discussing?

In the first chapter of “Three Men in a Boat (Not to Mention the Dog),” we are introduced to the narrator, his friends George and Harris, and a dog named Montmorency. The setting is in the area of London, England. The men are sitting in the narrator’s room, discussing the variety of ailments they are suffering from -- as older gentlemen very often do. The narrator takes the time to tell the readers at length about some of his maladies from the past and the present. All of the men feel listless and “seedy.” They decide that they have been working far too hard lately. “What we want is rest,” said Harris. “Rest and a complete change,” said George. “The overstrain upon our brains has produced a general depression throughout the system. Change of scene, and absence of the necessity for thought, will restore the mental equilibrium.” And so the men begin to plan a group vacation, which turns into a boat trip to follow the course of the Thames River. This chapter sets the tone and the action t...

Does Walter Mitty succeed in changing his wife's view of him?

While Walter Mitty does try to change his wife's view of him, there is no indication by the end of the story that he has succeeded in his task. At the same time, there is every indication that Walter will continue to try to exert his individuality, even though his prospects are hardly encouraging. In the story, Walter uses his daydreams as an escape mechanism. He has no less than five daydreams while he is out running errands with his wife. His last two daydreams are most significant. In the fourth daydream, Walter is a fearless World War Two captain who will take his bomber plane into enemy fire. Apparently, he is the only soldier left in his unit who can complete the task. Before he leaves on his possibly fatal mission, he nonchalantly downs brandy (to the admiration of his subordinate). Walter leaves for his mission cheerfully humming "Aupres de Ma Blonde." Notice that the text highlights the "rat-tat-tatting of machine guns" and the "menacing pocketa-po...

`sum_(n=0)^oo 3^n/1000` Determine the convergence or divergence of the series.

Recall that infinite series converge to a single finite value `S `  if the limit of the partial sum `S_n` as n approaches `oo` converges to `S` . We follow it in a formula: `lim_(n-gtoo) S_n=sum_(n=1)^oo a_n = S` . To evaluate the  `sum_(n=0)^oo 3^n/1000` , we may express it in a form: `sum_(n=0)^oo 1/1000 * 3^n` .  This resembles form of geometric series with an index shift:  `sum_(n=0)^oo a*r^n .` By comparing "`1/1000 * 3^n` " with  "`a*r^n` ", we determine the corresponding values: `a = 1/1000` and `r = 3` .  The convergence test for the geometric series follows the conditions:  a) `If |r|lt1`  or `-1 ltrlt 1` then the geometric series converges to `sum_(n=0)^oo a*r^n =sum_(n=1)^oo a*r^(n-1)= a/(1-r)` .  b) If `|r|gt=1` then the geometric series diverges. The `r=3` from the given infinite series falls within the condition `|r|gt=1` since `|3|gt=1` . Therefore, we may conclude that `sum_(n=0)^oo 3^n/1000 ` is a divergent series .

In The Giver, what does it mean when Jonas says we have to protect people from wrong choices? And is it true that since everyone is the same in...

In chapter 13, Jonas and the Giver discuss colors and the inability of community members to see them. More importantly, the option to choose between different colors is automatically taken away from people because they can't see them. Jonas is frustrated because of this, but as the conversation develops, he says that it is probably better that people don't choose their own mates or careers. Jonas says that if people chose their own mates and jobs, it would be "very frightening. I can't even imagine it. We really have to protect people from wrong choices. . . [It's] much safer" (98-99). Apparently, in Jonas's community, they value controlled safety over freedom of choice and allowing people to make mistakes. People are equal in many ways in this community because any choices of preference have been taken away. This does create equality because they have limited options in life to choose from. If everyone only has the same number of choices to make each day,...