Notes

Christianity was not brought to the Americas until 1492, when Christopher Columbus’s arrival in the New World ushered in the Age of Discovery. This period began the spread of Christianity to the Americas. The Roman Catholic Church established missions, stretching from Mexico and the Southwest region of what is today the United States down south as far as Argentina and Chile. Christian missions spread Christianity through converting indigenous peoples. Spanish colonization sought not just to expand the political empire but to establish Catholicism in the New World. Initially, colonizers attempted to purge native religious or cultural practices and replace them with Christianity. In reality, however, many Native American peoples appropriated Catholicism in addition to traditional beliefs and practices. An interesting effect of this religious influence was expansion of Native American languages. The Spanish did not impose their language the same way they did their religion, and some nativ...

Wise men regret that "their words had forked no lightning," perhaps that their words never achieved the power the men wished them to.  Since lightning is such a powerful force that creates a huge impact, it seems likely that these men regret the lack of impact they or their wisdom has had during their lifetimes. Good men, with "the last wave by, [cry] how bright / Their frail deeds might have danced in a green bay."  It sounds as though the waves were their opportunities to do good in the world, and, with their last wave having gone by, these men recognize that they will have no more opportunity.  Further, they feel that they might have done more good if they had only been stronger. "Wild men who caught and sang the sun in flight, / [...] learn, too late, they grieved it on its way [...]."  Perhaps they thought that they were living a full life, living without regret or without wasting any time, but then they realize that they were really mourning the pass...

Helen said these words after describing her illness in her autobiography, The Story of My Life .  When Helen was almost two, she became seriously ill.  She survived, but lost her hearing and sight.  Helen had been very aware and eager during the first nineteen months of her life.  She was beginning to learn how to talk before she fell ill.  For years, Helen had vague memories of her young life before she lost her sight and her hearing.  During that period of almost two years, she experienced nature and light, and the "darkness that followed could not wholly blot out" these memories (Chapter I).  Following this recollection of life before becoming deaf and blind, she wrote of the empowerment that her memories left her with.  She then wrote the following quote:   If we have once seen, "the day is ours, and what the day has shown." Helen noted that because she had seen the world around her when she was very young, she she always kept those memories with her.  She remem...

The best way to answer this question is to say that laws in a unitary system are made and implemented from the top down while laws in a federal system can be made and implemented in a more decentralized way. In a unitary system, the national government has essentially all of the power.  It tells the lower levels of government what they can and cannot do.  Laws are created by the national government, not by the lower levels of government.  The national government tells the lower levels of government how to implement the laws.  This is all very top-down. In a federal system, things can be more decentralized.  Of course, the national government still has the power to make laws.  However, the states (or provinces, or whatever the lower levels of government are called) also have the independent power to make laws.  The states are not simply limited to implementing laws that the national government makes.  When the national government does make laws, the laws may at times be implemented in a...

One can definitely see elements of anarchy and individualism at work in Oscar Wilde's  The Importance of Being Earnest.  First of all, much of the play lampoons the attitudes and manners of the upper classes, as it hilariously comments on and exposes the trivialities of the rich. There are some elements of anarchy in this comedic process, as Wilde's depiction of the upper classes demolishes the wealthy establishment by revealing its shallow lack of substance. Of course, it's important to note that, even if Wilde is demolishing the foundations of the upper classes, he never does so with venom. Rather, the play maintains a light and funny tone, and so any criticisms are subtle and are often delivered, most surprisingly, in an affectionate manner.  Additionally, Wilde's individualism can be observed in his perfectly crafted dialogue and writing. Time and again, Wilde has his characters engaging in surprising, witty, and often scandalous turns of phrase. More specifically, ...

Act 1, Scene 2 of The Tempest opens with Miranda commenting on the storm and the shipwreck she has just witnessed. She is greatly distressed by having seen the ship sink. Her compassion is fully activated. She suffers with the people she saw suffering. She believes the ship was a "brave vessel" that certainly had "some noble creature in her," someone she believes must now have perished along with all the passengers and crew. Hearing their fearful cries, she felt their agony in the depths of her heart. She wishes she had the power of a supernatural being. If she had, she would have made the earth swallow up the entire ocean before she would have allowed the ship to be swallowed by the sea. Her father, Prospero, tells her to take heart because there's been no harm done. She has suspected her father may by his magic have influenced the storm, and she wants him to calm the sea. Prospero takes this opportunity to tell Miranda the tale of who he is and how they came ...

In the book, Mrs. Jensen is Lorraine's mother. She's a private nurse and often works the night shift. Her patients are usually elderly and terminally ill. Lorraine and her mother have a difficult relationship, as Mrs. Jensen is a deeply unhappy woman. According to Lorraine, her father left them fifteen years ago when his parents got a legal separation. Since Lorraine's father is now deceased, Lorraine states that the separation between her parents is permanent. Mrs. Jensen has a great distrust of men due to her husband's actions during their marriage. Accordingly, he had contracted a venereal disease while she was pregnant with Lorraine. She discovered his illness when the doctor called and warned her not to engage in any sexual intimacy with her husband until he was cured. When Mrs. Jensen found out that her husband had actually cheated on her, she filed for a legal separation. According to Lorraine, this is the main reason that her mother is contemptuous of men. Mrs. ...

Montmorency is the dog in the group, a fox terrier. He belongs to J., the narrator, who explains the dog’s background in Chapter II. At first, J. thinks the dog has the look of “an angel sent upon the earth.” He’s so cute, small, and unassuming that you would think he would turn out to be the best behaved dog you’d ever met. J. learned differently when neighbors came to complain about killed chickens and a dead cat. Montmorency had even penned up a man in his own tool-shed, he had behaved so ferociously. So the readers quickly discover that the dog has two sides to his personality. He occasionally contributes something worthwhile during the river trip. In Chapter XIV, he catches a water-rat for George’s Irish stew.

Both Rikki and Nag are afraid during their first confrontation, and rightly so. Each represents a formidable threat to the life of the other. Nag hides his fear behind threats and bravado. He brags about his looks and his origins as having been specially created by Brahm. He spreads his hood in a threatening fashion. Despite this bravado, he knows mongooses in the garden are a death sentence for cobras. He shifts to a conciliatory tone, attempting to distract Rikki long enough for Nagaina to creep up behind him and strike. Rikki is "afraid for the minute" when he sees Nag's display and hears his words. The innate courage and confidence of his species make him unable to remain fearful for long. He realizes mongooses are born and live to "fight and eat snakes," and his spirit rises to the challenge. He confronts Nag forthrightly for eating "fledglings out of a nest," allowing his anger and sense of justice to override his fears.  As it turns out, Rikki i...

Hello! The mass conservation law will help us in this problem. Denote `rho_1` the known density of 95% sulfuric acid, `rho_2` the known density of 40% sulfuric acid (the given numbers are in  `g/(cm^3)` ), `rho_w=1g/(cm^3)`  the (known) density of pure water. Let the unknown volumes of 95% acid and water be `V_a` and `V_w,` and the known volume of resulting solution `V_2.` Then the mass before the mixing is  `V_w rho_w + V_a rho_1`  and the mass after the mixing is  `V_2 rho_2,` and they must be equal: `V_w rho_w + V_a rho_1 =V_2 rho_2.` The mass of pure sulfuric acid also remains the same, thus `0.95 V_a rho_1 = 0.40 V_2 rho_2.` From this equation we can find the required volume of 95% acid:  `V_a = 0.40/0.95 *V_2 *rho_2/rho_1.` Substitute it into the first equation and obtain `V_w rho_w +0.40/0.95 V_2 rho_2 =V_2 rho_2, or V_w = V_2rho_2/rho_w (1 - 0.40/0.95).` Numerically the answers are `V_a = 0.40/0.95 *1500*1.3070/1.8358 approx 450` (liters of 95% acid) and `V_w = 1500*1.3070* (1 ...

Brian marks the passage of time by making marks on a stone by his shelter each day.  Brian ends up being in the wilderness for a long time.  He wants to mark the days, but that is all they are to him at that point—just days.  The days had folded one into another and mixed so that after two or three weeks he only knew time had passed in days because he made a mark for each day in the stone near the door to his shelter. (Ch. 15)  To Brian, events are more important.  Most days just pass with the sun going up and coming down, but there are some special occasions.  The day of “First Meat” is the day he finally figured out how to get meat.  He had been frustrated because the birds, which he called foolbirds, seemed so dumb, yet he could not get them.  But in the end he found that if he saw the bird sitting and moved sideways toward it—not directly toward it but at an angle, back and forth—he could get close enough to put the spear point out ahead almost to the bird and thrust-lunge with it....

Emily Dickinson was a master at utilizing punctuation to increase the ambiguity of her poems. "A Narrow Fellow in the Grass" is a perfect example of this rule, as Dickinson employs her trademark dashes to increase both the choppiness of the poem's rhythm and its ambiguity. Take, for instance, the first stanza: A narrow Fellow in the Grass Occasionally rides - You may have met him? Did you not His notice instant is -  The dashes in this stanza encourage hard stops that dislocate the rhythm from a regular pattern. Additionally, the dashes make much of the central meaning of the excerpt hard to determine. For example, the dash at the end of the last line could be simply a hard stop ending Dickinson's statement that the "fellow" is noticed instantly. From another point of view, however, we could see the dash as an interruption that prevents Dickinson from explaining what "his notice instant" is . Indeed, we could surmise that Dickinson was about to tel...

Link Deas stands up to defend Tom Robinson in Chapter 19 of  To Kill a Mockingbird. This is significant because earlier in the book he warned Atticus that Atticus had "everything to lose" by actually mounting a real defense for Tom instead of making the town happy and simply going through the motions. Mr. Link Deas rose from the audience and announced: "I just want the whole lot of you to know one thing right now. That boy's worked for me eight years an' I ain't had a speck o'trouble outa him. Not a speck." "Shut your mouth, sir!" Judge Taylor was wide awake and roaring. "...Link Deas," he yelled, "if you have anything you want to say you can say it under oath and at the proper time, but until then you get out of this room, you hear me?... I'll be damned if I'll listen to this case again!" [Chapter 19, pages 89-90] Although it was courageous of Mr. Deas to stand up and speak out, he could have caused a bigger pr...

In James' "The Beast in the Jungle," both seasonal and "dark" and "light" imagery are used to highlight the passage of time and changing of the physical seasons. This is done in order to evoke a sense of repetition and the cyclical quality of nature and events which occur over time. These events, such as the changing of the seasons and the rising and falling of the sun, are eternal; that is to say, they go on forever without stopping. The characters in the story are named after months of the year, Marcher and May, and the house where they first meet is called Weatherend. Throughout the story, each scene of importance in which the two main characters interact takes place during either spring or fall. Spring is a season which reminds us of opportunity, promise, and the coming of happy times ahead. This can be characterized as "light," while fall can be characterized as the coming of a "dark" time, or winter, when depression and a sens...

Gender stratification refers to women's and men's unequal access to privilege, power, and money based only on their sex. The consequences of gender stratification are that women often earn less money than men for comparable jobs; they often enter the workforce at jobs that pay less and that are lower on the managerial ladder; and they are often denied access to jobs with supervisory, decision-making, and other power. As a result, women still find themselves faced with a "glass ceiling," meaning that they cannot advance in their careers or in management, even though they may have the same or better experience and educational level as men who advance. Part of the result of gender stratification is that men develop their own professional networks through which they can advance, while women are often denied access to these opportunities. On a personal level, gender stratification can result in women's feeling depressed, anxious, or bored because they are denied opport...

Most would argue that Sophocles views the gods as in complete control of a man’s destiny. The prophecy from the gods drives the entire play. While characters spend their lives trying to defy it or prove it wrong, every one of their actions actually perpetuates the prophecy; it is impossible to escape. Even so, Oedipus believes he can escape it and take matters into his own hands. When he first learns the curse on Thebes is related to Laius’s murder, he takes it upon himself to solve Thebes's problems rather than seek the help of the gods. Later, when he starts to learn more information about his past, his pride swells and he refuses to accept that he might be headed for demise. He says “I am the child of luck; I cannot be dishonored. . . How could I not be glad to know by birth?” Though Jocasta warns him to stop searching for information, his desire to know his past blinds him. Still, this knowledge does not change the fate that the gods have in store for him. Whether he knows his ...

Both Squeaky and Gretchen are similar in the sense that both are competitive girls who are focused on winning the race. In the beginning, both are wary of each other. Squeaky dislikes Gretchen because a former friend has now taken up with the new girl. Mary Louise used to be Squeaky's friend, but she's now taken to gossiping about Squeaky behind her back. From the text, we can see that none of what Mary Louise says to Gretchen about Squeaky is complimentary. Gretchen's other side-kick isn't much better: Rosie is loud and often insensitive in her remarks about Raymond, Squeaky's mentally-handicapped brother. However, one thing different between Gretchen and Squeaky is the way both girls relate to Raymond. Squeaky, being Raymond's sister, is very aware of her brother's presence in the background, whether before, during, or after the race. Even when she wins, Squeaky's thoughts center on Raymond; she thinks about coaching him and helping him to win medals. ...

Jem shows courage because he protects his sister during the attack from Bob Ewell.  After the attack, he also shows courage because he does not seem very affected by it.  He is just glad he can still play football. When Jem and Scout were walking home after the pageant, they think they hear someone following them.  Jem tells Scout he is not scared.  When he realizes that the person behind them is an adult and not Cecil Jacob, he tries to protect his sister. “Run, Scout! Run! Run!” Jem screamed. I took one giant step and found myself reeling: my arms useless, in the dark, I could not keep my balance. “Jem, Jem, help me, Jem!” (Ch. 28) Jem tried to save Scout, and he ended up getting the brunt of the attack.  Of course, Scout was also protected by her costume.  However, Jem would not necessarily know that.  He could see better than she could, since she was hindered by the ham costume.  However, it was still very dark. Atticus and Heck Tate discuss how dangerous Ewell was. He pointed with...

A foil or a foil character differs from one character (in this case, Hamlet) and those differences highlight Hamlet's traits. So, we don't have to look far until we come to Claudius who serves as a foil to Hamlet. Claudius's crime highlights (and causes) Hamlet's need for vengeance. Claudius is the main villain/antagonist in this play and this contrasts with Hamlet's role as the main protagonist. Claudius continues to try to hide his crime, while suppressing Hamlet's role and importance (by sending him away). This is contrasted by Hamlet's desire to expose Claudius for the criminal that he is. These characters are actively working against one another, but they do not communicate this to each other until the very end. This unspoken but active duel fuels the plot and contributes to many themes of the play: murder, secrecy, revenge, madness, and justice.  An interesting side note to this "duel" is that both Claudius and Hamlet are similar in that they...

The concept that time represents the fourth dimension is widely accepted in the science and math community. Einstein theorized that the four dimensions were inextricably connected, introducing the concept of “spacetime,” which greatly expanded scientific and mathematical understanding of the universe. The recent discovery of Gravitational Waves has served to solidify Einstein’s theories regarding a four-dimensional physical universe. However, the fourth dimension is a difficult idea to wrap one’s mind around because it is not something that is easily visualized. Time cannot be sped up or slowed down, or moved from place to place like an object on a three-dimensional plane. It may be simpler to think about the fact that an object must exist in a certain location (space) at a given time in order to be seen (observed) in the physical universe.  

Kevin is amazing because he doesn't believe that his friend Max can't learn. In an effort to help Max to believe in himself, Kevin appoints himself as Max's tutor. First, Kevin introduces Max to the dictionary and shows him how to look up words that he doesn't understand. Then, because Maxwell helps Kevin by traveling on his shoulders, they are allowed to go to the smart classes together. Max is excited to get out of the learning disabled classes and Kevin promises to help him as well. Next, Kevin makes Max his own personal dictionary for Christmas, which is original and unique only for him. Finally, Kevin gets Max a journal to write down all of their adventures together. When Max says that he knows he can't write, Kevin says the following: "I won't have the time, so you'll have to do it. Just write it all down like you're talking. Put in all the fun we had, the cool things we did. Our adventures" (151). All of these things inspire Max to write...

Amphibians are the first organisms to leave the water and live on land during the course of evolution. They evolved from an ancestral fish species. However, they can only live on the land part-time. When they reproduce, they must return to the water to mate and their gelatinous eggs must be kept moist during their development. Adult amphibians have a thin, moist skin. They can use their skin to breathe air along with primitive lungs. Young amphibians begin their life in water and breathe with gills. Examples of amphibians are frogs, salamanders and newts. These are ectothermic or cold-blooded organisms and must rely on outside sources to provide heat to their bodies, along with certain behaviors. Reptiles are the first true terrestrial (land) organisms. They can live as well as reproduce on land. Their bodies are ectothermic, covered in scales and they have lungs for breathing air. A major development in reptiles is their amniotic egg . This is similar to the type of eggs found in bi...

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Perchloric acid (HClO4) is a strong acid and dissociates completely in water to give a proton (H+) and perchlorate ion (ClO4-). Thus, the hydrogen ion concentration in the given solution is: [H+] = [HClO4] = 0.15 M Since in a given solution, the product of concentrations of hydrogen ion and hydroxide ion is always equal to 10^-14, we can use this to calculate the concentration of hydroxide ions in the solution. In other words, [H+] x [OH-] = 10^-14 or, [OH-] = 10^-14 / [H+] = 10^-14 / 0.15 = 6.67 x 10^-14 M We can also use these numbers to calculate pH and pOH of the solution. pH = - log [H+] = - log (0.15) = 0.824 and pOH = 14 - pH = 14 - 0.824 = 13.176 Hope this helps.

Although Thomas Gray's "Elegy Written in a Country Churchyard" is not considered to be part of the Romantic canon, its first twenty lines  do  advance some classic Romantic themes. Most notably, the first twenty lines of Gray's poem describe the kind of isolated world of natural beauty favored by most Romantics. Though the first twenty lines develop this characteristic, it's pretty completely developed in the first stanza: The curfew tolls the knell of parting day,           The lowing herd wind slowly o'er the lea,  The plowman homeward plods his weary way,           And leaves the world to darkness and to me. (1-4) Already in this first stanza, we can see that Gray is setting his poem within a world of pastoral beauty. With a wandering herd, an open grassland (the definition of a "lea") and a plowman, Gray skillfully develops a world of natural beauty and hard-working farmers. Moreover, since the world is left to the speaker of the poem, it's s...

The Affordable Care Act (ACA), also referred to as Obamacare and passed in 2010 under President Obama, refers to two acts: the Patient Protection and Affordable Care Act and the Health Care and Education Reconciliation Act. Together, these two acts expand healthcare coverage by requiring private healthcare companies to accept every applicant and charge the same rates, regardless of the applicant's pre-existing medical conditions. Insurance plans can also not drop people who become sick. In addition, the act requires states to insure individuals and families with incomes up to 133% of the federal poverty level through Medicaid. In addition, the program to enroll children in CHIP (State Children's Health Insurance Program) became streamlined, making it easier for parents to apply for and receive health coverage for their uninsured children. Children can also receive coverage through their parents' plans until the age of 26. Finally, people with incomes in the range of 100% to...

Shylock is a Jewish usurer who makes profits on his loans, so he resents the merchant Antonio, who lends money interest-free to people, which undercuts Shylock. How like a fawning publican he looks! I hate him for he is a Christian, But more for that in low simplicity He lends out money gratis and brings down The rate of usance here with us in Venice. If I can catch him once upon the hip, I will feed fat the ancient grudge I bear him (Act I, Scene 3, lines 41-47). As a Jew in Venice, Shylock is restricted to a certain area of the city called the ghetto, a crowded neighborhood where all Jews are required to live. During the Renaissance, Jews were perceived as a threat to Christians, so they were isolated in this city. There was also resentment toward their skills in medicine and banking, so they were prevented from entering such fields. As a result, Shylock is resentful because he feels he could rise much higher in Venetian society if he were not prohibited from certain opportunities an...

In Bradbury's "The Veldt," the Happy Home and the nursery satirize modern society's tendency to equate happiness with comfort and ease. The Happy Home is a technological marvel that does everything for the Hadley family, to the extent that Mrs. Hadley, a housewife, feels useless. The nursery raises the two children, Peter and Wendy, who come to regard the view screens that they spend most of their time watching as more authoritative than their own parents. The story illustrates that over-reliance on technology is a trap. We can't let technology live our lives for us or raise our children for us without suffering the consequences. After falling under the grip of technology, the Hadley parents learn too late that their children have become dehumanized. They learn that letting a house do everything for them has torn their family apart, not made it happier.  

`x=sint` `y=cost` First, take the derivative of x and y with respect to t. `dx/dx = cost` `dy/dt=-sint` Then, determine the first derivative `dy/dx` . Take note that in parametric equation, the formula of `dy/dx` is: `dy/dx = (dy/dt)/(dx/dt)` Applying this formula, the first derivative is: `dy/dx = -sint/cost` `dy/dx=-tant` Then, determine the second derivative of the parametric equation. To do so, apply the formula: `(d^2y)/(dx^2)= (d/dt (dy/dx))/(dx/dt)` So the second derivative is: `(d^2y)/(dx^2) = (d/dt(-tant))/(cost)` `(d^2y)/(dx^2) = (-sec^2t)/(cost)` `(d^2y)/(dx^2)=-sec^3t` Take note that the concavity of the curve changes when the second derivative is zero or does not exist. `(d^2y)/(dx^2)= 0`   or   `(d^2y)/(dx^2)= DNE` Setting the second derivative equal to zero, result to no solution. `sec^3t = 0` `t= {O/} `   Since there are no angles in which secant will have a value of zero. However, on the interval  `0lttltpi` , the secant does not exist at angle `pi/2` . `sec^3t = DNE` ...

All of the characters in The Glass Menagerie suffer from some kind of disillusionment. Amanda is perhaps the most disillusioned character in the book. She imagines a wildly romantic life for her daughter and refuses to see the reality of the situation. She continuously talks of possible suitors for Laura and assumes hobbies and jobs she might do. When she discovers Laura is not going to school any longer, she is distraught and disillusioned. Tom dreams of escape yet cannot leave his home. He imagines that the world he’ll find when he leaves will be without trouble or responsibility. He also hopes his mother and sister will manage without him. When he leaves at the end, without telling his mother, it shows his desperation. Laura, however, is a little more grounded in reality than the other characters. She does have a crush on Jim and imagines for a brief moment that they might be together; when she discovers he has a girlfriend, her hopes are dashed. In most other ways, she is fairly g...

Current and voltage are two related components of electricity. Although some people use these terms interchangeably in everyday language, they are not the same thing. Voltage is the cause of current, which is the effect . Voltage, the force that drives current, is the energy per unit of charge. Specifically, voltage is the potential energy stored in the form of an electrical charge. Voltage is measured in volts (voltage) and is denoted by V. This force moves electrons in a current along a path called a circuit . Current is the rate of flow of an electric charge. Current is measured in amps (amperage) and is denoted by I. Current is an effect of voltage - it takes voltage to create current.

To answer your question, let's define milieu as both a social setting and the place, or in the case of The Sun Also Rises , places where the story develops. The main characters in the novel are expatriates from the United States and Britain who are living on Paris's Left Bank, a mecca for artists, writers, and intellectuals, in the decade after WWI. It was a time and place devoted to "cafe society" as creative, free-wheeling people from all over the world congregated to exchange ideas about art. Ernest Hemingway was a part of this scene and the novel is considered a roman a clef. Feelings of disillusionment caused by WWI plague this group, and they struggle to find purpose and meaning in their lives. Drinking plays a major role in their efforts to cope. The Americans include Jake Barnes, the narrator, a wounded WWI veteran working as a journalist. Robert Cohn is a wealthy American Jew who has come to Paris to write. Bill Gorton, another WWI vet, comes for a visit but ...

Maclaurin series is a special case of Taylor series that is centered at `a=0` . The expansion of the function about 0 follows the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!) x^n`  or `f(x)= f(0)+(f'(0)x)/(1!)+(f^2(0))/(2!)x^2+(f^3(0))/(3!)x^3+(f^4(0))/(4!)x^4 +...` To determine the Maclaurin polynomial of degree `n=2` for the given function `f(x)=sec(x)` , we may apply the formula for Maclaurin series. We list `f^n(x)` as: `f(x)=sec(x)` `f'(x) =tan(x)sec(x)` `f^2(x)=2sec^3(x)-sec(x)` Plug-in `x=0` , we get: `f(0)=sec(0)`         `=1` `f'(0)=tan(0)sec(0)`           `= 0 *1`           `=0` `f^2(0)=2sec^3(0)-sec(0)`         `= 2*1 -1`         `=1` Applying the formula for Maclaurin series, we get: `f(x)=sum_(n=0)^2 (f^n(0))/(n!) x^n`         `=1+0/(1!)+1/(2!)x^2`        `=1+0/1+1/2x^2`          `=1+1/2x^2 or 1 +x^2/2 ` Note: `1! =1` and `2! =1*2 =2.` The 2nd degree   Maclaurin polynomial for  the given function `f(x)= sec(x)` will be: `sec(x) =1+x^2/2` or `P_2(x)=1+x^2/2`

Evaluate `sum_(n=1)^(infty)1/(n!) ` The series converges from the ratio test: `lim_(n->oo)(1/((n+1)!))/(1/(n!))=lim_(n->oo)1/(n+1)=0 ` The sequence of partial sums: n=1    1 n=2    1+1/2=1.5 n=3    1+1/2+1/6=5/3 or `1.bar(6) ` n=4    1+1/2+1/6+1/24=`41/24=1.708bar(3) ` n=5    1+1/2+1/6+1/24+1/120=`103/60=1.71bar(6) ` This sequence is approaching e-1 where e is the base of the natural logorithm and `e-1~~1.718281828... `

The story opens with Walter Mitty having a few difficulties with his driving.  His wife notices him speeding and admonishes him to slow down.  Moments later, he is distracted at a red light and fails to drive on when the light changes until a police officer prompts him to move. Walter Mitty becomes so engrossed in one of his daydreams that while imagining himself heroically repairing an "anesthetizer" with a fountain pen and then stepping in to take over a complicated surgery, he is unable to correctly park his car in a parking lot. Mitty also remembers attempting to remove the snow chains from the tires of his car.  He somehow managed to get them wrapped around the axle of his car, requiring a young mechanic to come and remove them.  

The question asks about the consequences of modern imperialism of France (i.e. as manifested near the end of 19th century). The consequences of imperialism have been and continue to be profound in the current culture and development of most of the world outside of Europe and North America. Therefore, while not synonymous, it is useful to narrow the question by focusing on the effects of colonialism by the major western powers, in this case France.  Colonialism in the late 19th century had several important and long-lasting effects:  Creation of economies skewed toward raw material and primary resource production at the expense of higher value added, techonological or knowledge-intensive activities. Co-option or destruction of local political structures, and the creation of local elites beholden to foreign power. Dependence on the part of the colonial ruler on maintenance of far-flung resource bases which had to be defended militarily; i.e. it meant massive expenditure of state resource...

Ray Bradbury explained his model of creative writing at various times throughout his long and glorious career. He explained it at the greatest length in his non-fiction book Zen in the Art of Writing . This quotation sums up several key principles he explains in that lovely little book. Creative artists should not work primarily with their rational minds. If they plan, and try to reach some intentional creative goal, the result is stiff and artificial. They should instead work with several qualities which eventually unify: their senses, emotions, subconscious or intuition, and craft. Bradbury believed in soaking up sense impressions. You can see this in stories like "The Pedestrian," where people go out walking at night, just to feel the air, or in Clarisse in Fahrenheit 451 , who took joy in the feel of rain. These sense impressions should make you feel, first in your body and then in your emotions. In his aforementioned book on writing, Bradbury praises "zest" and...

At the end of the novel, Bryon goes to visit Mark, who is in a reformatory. While Bryon is sitting across from Mark in a visiting room, Bryon says Mark looks hard and sinister. Bryon asks Mark how his life is going, and Mark replies by commenting on how terrible it is in the reformatory. Mark then tells Bryon he wanted to see him just to make sure he still hated him. Mark doesn't allow Bryon to explain himself and says he can't get away with things the way he used to, which is why he's constantly in trouble. Bryon becomes desperate to connect with Mark and says, "We were like brothers. . . You were my best friend" (81). Mark responds by laughing at Bryon and says, "Like a friend once told me, 'That was then, this is now'" (82). Mark's comment refers to how his relationship with Bryon has permanently changed. Bryon and Mark used to be best friends, but after Bryon called the authorities on Mark, Mark's attitude towards Bryon changed foreve...

Coconut fiber, or coir, is a diverse natural material derived from the husk of the coconut fruit. Coir is a rough, brown or white fiber that has several common applications, including brushes, rope, doormats, and even mattress filling. In agriculture, the fiber can be used to amend soils and create a fertile growth medium for plants. Here, we'll focus on two main applications of coir: rope and upholstery filling. Rope:  Coir is used to create fiber ropes. Coconut is widely available in island and tropical ecosystems, so cultures in those regions have long availed themselves of the many uses of coconut and coconut by-products. One way to make coir rope is by twisting the fibers with the aid of a spinning wheel. Upholstery Filling:  Common uses for coir are mattress and upholstery filling. Coir is stiff yet flexible, which makes it an excellent filling for items that need to retain their shape without being rigid. As filling, coir is processed into a loose mat of fiber shreds. This a...

Both presidents were committed to stopping the spread of communism, and took aggressive actions to do so. It was under Truman that the United States led a UN force into the Korean peninsula to stop the invasion of South Korea by the North. Eisenhower brought that war to a conclusion, but threatened to use military force (and indeed did actually send some Marines to Beirut) in the Middle East to stop the spread of communism. Eisenhower also sent substantial economic aid, and some military advisors, to Vietnam in support of the French colonialists at first and then the South Vietnamese anti-communists. Truman had sent billions in aid to Western Europe as part of the Marshall Plan after World War II and committed, under the so-called "Truman Doctrine," to assist any nation that seemed threatened by the potential spread of communism. This policy was known as "containment": simply stopping the spread of communism, it was thought, would eventually lead to its collapse. Th...

The Third Century Crisis (dated abut 235 to 284 AD) was a time of trouble when many problems converged on the Roman Empire at the same time. Much of the empire’s northern frontier had always been unstable, but in the third century, the northern tribes were especially restless. Food shortages caused by climate change destroyed agriculture while raids from warlike tribesmen destroyed Roman forts and left settlements without protection. As barbarian tribes grew more powerful, the startled Romans considered building a wall to fend off the invaders who were able to sack and destroy many important cities. Internal squabbles resulted in at least 27 different emperors holding power during the first half of the third century. By 260, it seemed that the empire would be destroyed by ineffective defenses. The western provinces of Gaul (modern France), Britain, and Iberia (Hispania/Spain) formed the Gallic Empire under the leadership of the usurper Postumus, who had protected them from invasion by ...

Friar John tells Friar Laurence that Romeo did not get the letter about Juliet.   After Romeo was banished, Friar Laurence developed a complicated plan to keep Juliet from having to marry Paris. It involved Juliet taking a potion that would make her look dead, resulting in her burial in the Capulet tomb.  The idea was that Romeo would be warned about this by letter. Unfortunately, the letter was waylaid by a plague. Friar Laurence finds out the letter did not get where it was intended when Friar John tells him about the plague. FRIAR LAURENCE Who bare my letter, then, to Romeo? FRIAR JOHN I could not send it,—here it is again,— Nor get a messenger to bring it thee, So fearful were they of infection (Act V, Scene 2). The plague is very serious. Still, Friar Laurence is not happy that Romeo did not get his letter. He says the letter was of “dear import.” Laurence tells John to get a crowbar and meet him. John agrees, and they part. By the time Laurence gets to Juliet’s tomb, it is too la...

Indefinite integral are written in the form of `int f(x) dx = F(x) +C`  where:` f(x) ` as the integrand            `F(x)` as the anti-derivative function             `C`  as the arbitrary constant known as constant of integration To determine the indefinite integral of `int (x^2+5)/(x^3-x^2+x+3) dx` , we apply partial fraction decomposition to expand the integrand: `f(x)=(x^2+5)/(x^3-x^2+x+3)` The pattern on setting up partial fractions will depend on the factors  of the  denominator. The factored form of `x^3-x^2+x+3 =(x+1)(x^2-2x+3)` . For the linear factor `(x+1)` , we will have partial fraction: `A/(x+1)` . For the quadratic factor `(x^2-2x+3)` , we will have partial fraction: `(Bx+C)/(x^2-2x+3)` . The integrand becomes: `(x^2+5)/(x^3-x^2+x+3) =A/(x+1)+(Bx+C)/(x^2-2x+3)` Multiply both side by the `LCD =(x+1)(x^2-2x+3)` . `((x^2+5)/(x^3-x^2+x+3) )*(x+1)(x^2-2x+3)=(A/(x+1)+(Bx+C)/(x^2-2x+3))*(x+1)(x^2-2x+3)` `x^2+5=A(x^2-2x+3)+(Bx+C)(x+1)` We apply zero-factor property on `(x+1)(x^2-...

I imagine that are many reasons that people cannot understand the horror of what happened in World War II and actually, previous to World War II.  But a few ideas do come to mind immediately.  First, while other genocides have occurred subsequent to the Holocaust, none has been on the scale that the Holocaust was, and I honestly think we cannot wrap our minds around the enormity of it, the fact that millions of people were systematically put to death largely on the basis of religion or ethnicity.  Second, we all think of ourselves as good people, and we find it hard to understand how ordinary people, presumptively good people, could allow such atrocities to happen, a lack of insight into those people in those times and places. Just looking at the number of Jews killed, we find our minds reeling, six million Jews just gone.  In Rwanda, 800,000 Tutsis were put to death, and even in Cambodia, which stands out amongst genocides, the number is about two million.  If you have ever been to Ne...

The first thing you will need to do to create work on the postgraduate level is to sort out some factual details. The Gothic period was the late eighteenth century. Wuthering Heights , although borrowing some of the literary conventions of the Gothic, was written in 1845, considerably later than the classic works of Gothic fiction such as The Castle of Otranto or The Mysteries of Udolpho .  The Brownie of Bodsbeck (1818) is somewhat closer to the traditional Gothic in period, and in its historical Scottish setting resembles The Bride of Lammermoor (1819), blending a Gothic atmosphere with Scottish regionalism. Thus one issue you need to mention is the 27 years between the composition of the two novels and the difference in situations of the authors (Hogg was a Scottish man, Brontë an English woman). Next, you should note that Katherine is not, in fact, "horrible" nor is she actually possessed by an evil spirit. The "Brownie" turns out to be John Brown, a man figh...

In the final chapter of the novel, "Conclusion," the narrator says that "in the view of Infinite Purity, we are sinners all alike."  Therefore, despite the fact that some people try to live without sin—and some others pretend to do so—as human beings, we are fundamentally flawed and incapable of perfection.  If we were perfect, we would be gods.  The narrator claims that we are all sinners, every one of us, and so we cannot ever be totally without sin or flaw in the eyes of God. Further, the narrator says, Among the many morals which press upon us from the poor minister's miserable experience, we put only this into a sentence: "Be true!  Be true!  Be true!  Show freely to the world, if not your worst, yet some trait whereby the worst may be inferred!" In other words, more important than being sinless—which the narrator has already identified as an impossibility—the narrator claims that we should be honest about our sinfulness.  If we are all, at least,...

When the story opens, Rusty James is on a beach in Southern California. By chance, he meets Steve, a friend he hasn't seen in five or six years. Steve is surprised to see him and tells Rusty James that he is going to college in the area. Apparently, Steve is studying to become a high school teacher. As they converse, it is apparent that Steve wants to reconnect with Rusty, but Rusty isn't too keen on reminiscing about the past with his former friend. Soon, Steve asks about the reformatory and how long Rusty was in for. Rusty answers that he was at the reformatory for five years; however, he doesn't really like to think about that period of his life. He tells Steve that he was once sent to solitary confinement, but Steve reacts awkwardly. Eventually, the two young men discuss Steve's scars and how he got them. The conversation ends with Steve reiterating his desire to get together for dinner and to introduce Rusty to his girlfriend. Rusty humors Steve but has no intentio...

During the Sepoy Rebellion, also called the Indian Mutiny, of 1857-1858, sepoys, or Indian soldiers, rebelled against the British East India Company and against British rule. The immediate cause of the rebellion was a rumor that the cartridges for the new Enfield rifles the sepoys had to use were coated with grease from cow and pig fat. This type of grease violated Hindu and Muslim dietary laws. This rumor was likely false, but it seemed to confirm the sepoys' very real belief that the British were attacking their traditional way of life and undermining Indian rule of India. The rebellion started when a sepoy named Mangal Panday, from a Brahmin family that was devoutly Hindu, shot at British officers in Barrackpore in March of 1857; he was later executed. During the rebellion, sepoys at Meerut revolted against orders to use the new Enfield rifles, and they were jailed as a result. Other sepoys rebelled in solidarity and shot their officers and marched to Delhi. Local sepoys joined ...

Recall that indefinite integral follows `int f(x) dx = F(x) +C` where: `f(x)` as the integrand function `F(x)` as the antiderivative of `f(x)` `C` as the constant of integration.  For the given  integral problem: `int t ln(t+1) dt` , we may apply u-substitution by letting: `u = t+1` that can be rearrange as `t = u-1` . The derivative of u is `du= dt` . Plug-in the values, we get: `int t ln(t+1) dt= int (u-1) ln(u) du` Apply integration by parts: `int f*g'=f*g - int g*f'` . We may let:        `f =ln(u)` then `f' =(du)/u`        `g' =u-1 du` then  `g=u^2/2 -u ` Note: `g =int g' = int (u+1) du` . `int (u-1) du =int (u) du- int (1) du`                        `= u^(1+1)/(1+1) - 1u`                        `= u^2/2 - u` Applying the formula for integration by parts, we set it up as: `int (u-1) ln(u) du = ln(u) * (u^2/2-u) - int(u^2/2-u) *(du)/u`                                    `=(u^2ln(u))/2-u*ln(u) - int(u^2/(2u)-u/u) du`                                    `=(u^2ln(u))...

After driving up the dusty road and arriving at Mathu's place, Sheriff Mapes steps out of his squad car in his gray suit with a red tie. He assesses the situation and then questions the old men, employing the tactics of a sheriff in the South of a former day: He seems brutal and bigoted.  In Chapter 8 of A Gathering of Old Men,  the old black men walk through the graveyard in a symbolic gesture of their remembrance of loved ones who died dissatisfied or were harmed under the cruel feudal-like system of the South. They then enter the yard of Mathu with fervor and a new resolve to assume the blame for the death of the Cajun Beau Bauton, and, in so doing, assert the manhood they have sacrificed in the past. When Sheriff Mapes arrives in his squad car that is shrouded in a cloud of dust, the burly man steps out, looks around, and asks what has occurred. Candy insists that she killed Beau; however, the sheriff looks at Mathu, who remains quietly squatting on the porch. Since there are y...

All organisms need some sort of a fuel source in order to survive and flourish. For plants, the primary fuel source is solar radiation beaming down from the sun. In order to harness the sunlight to make food plants use small organelle structures in their cells called chloroplasts. These organelles use a chemical called chlorophyll to create cellulose, the plant form of sugar. Cellulose also helps to build the rigid outer structure of cells and is broken down as a fuel source to do most processes.  A fine distinction to make is that chloroplasts make  food , not energy. This food can later be broken down by the cell's mitochondria to make energy, just the same as other organisms would break down ingested food. Chloroplasts and their chlorophyll are also to blame for the average plant's green coloring which helps them absorb blue wavelengths of light very efficiently (helpful with a blue sky). 

There are two steps to this reaction. Step 1: Reaction between sulfuric acid and sodium sulfite. First, sulfuric acid (`~H_2SO_4` ) reacts with sodium sulfite (`~Na_2SO_3` ) to produce sodium sulfate (`~Na_2SO_4` ) and sulfurous acid (`~H_2SO_3` ) as follows:    `~H_2SO_4` + `~Na_2SO_3` -> `~Na_2SO_4` + `~H_2SO_3` This is an example of a double replacement reaction.  Step 2: Decomposition of sulfurous acid. Second, the sulfurous acid product (`~H_2SO_3` ) is unstable and spontaneously decomposes into water (`~H_2O` ) and sulfur dioxide gas (`~SO_2` ) as follows:    `~H_2SO_3` -> `~H_2O` + `~SO_2` This is an example of a decomposition reaction. Therefore, the overall reaction between sulfuric acid and sodium sulfite is:    `~H_2SO_4` + `~Na_2SO_3` -> `~Na_2SO_4` + `~H_2O` + `~SO_2` The number of each atom on both sides of the equation is the same, so the equation is already balanced. 

A Difference of Means test, also called a t- test, is one of the simplest statistical procedures, yet also one of the most widely used because of its broad applicability. It's especially useful in controlled experiments, where the two means being compared are the control group and the experimental group. Difference of Means requires a categorical variable for the independent variable, and a quantitative variable for the dependent variable. The categorical variable should have only two options (for more categories, you can use a chi-square or F-test). Here our independent variable is the electoral system, which is clearly categorical; there are multiple types to consider, but the two big ones are "first-past-the-post" plurality vote (like the US) and proportional representation (like Sweden). So we would make those our two categories, and sort countries into each group. If a country is hard to fit into either category (such as "mixed member proportional representation...

Given` 2xy' - y = x^3 - x` =>`y' -(1/2x)y = (x^2-1)/2` when the first order linear ordinary differential equation has the form of `y'+p(x)y=q(x)` then the general solution is , `y(x) = (int (e^(int p(x) dx) * q(x) dx + c )) / e^(int p(x) dx)` so, `y' -y/(2x) = (x^2-1)/2--------(1)` `y'+p(x)y=q(x)---------(2)` on comparing both we get, `p(x) = -1/(2x) and q(x)=(x^2-1)/2` so on solving with the above general solution we get: `y(x) = (int (e^(int p(x) dx) * q(x) dx + c )) / e^(int p(x) dx)` =`((int e^(int -1/(2x) dx) *((x^2-1)/2)) dx +c)/ e^(int(-1/2x) dx) ` first we shall solve `e^(int  -1/(2x) dx)=e^(-ln(2x)/2)=1/sqrt(2x)  `      so proceeding further, we get `y(x) =(int 1/sqrt(2x) *((x^2-1)/2) dx +c)/(1/sqrt(2x) )` `y(x) =(1/(2*sqrt(2))(int 1/sqrt(x) *((x^2-1)) dx +c)/(1/sqrt(2x)) )` `=(1/(2*sqrt(2))(int1/sqrt(x) *((x^2-1)) dx +c)/(1/sqrt(2x) ))` =`(1/(2*sqrt(2))(int1/sqrt(x) *(x^2)dx-int1/sqrt(x) *1 dx +c)/(1/sqrt(2x) ))` `=((1/(2*sqrt(2))(2x^(5/2)/5-2sqrt(x)) +...

Maclaurin series is a special case of Taylor series that is centered at `c=0.` The expansion of the function about `0` follows the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!) x^n`  or `f(x)= f(0)+(f'(0))/(1!)x+(f^2(0))/(2!)x^2+(f^3(0))/(3!)x^3+(f^4(0))/(4!)x^4 +...` To determine the Maclaurin series for the given function` f(x)=sinh(x)` , we may apply the formula for Maclaurin series. For the list of `f^n(x)` , we may apply the derivative formula for hyperbolic trigonometric functions: `d/(dx) sinh(x) = cosh(x)`  and `d/(dx) cosh(x) = sinh(x)` . `f(x) =sinh(x)` `f'(x) = d/(dx) sinh(x)= cosh(x)` `f^2(x) = d/(dx) cosh(x)= sinh(x)` `f^3(x) = d/(dx) sinh(x)=cosh(x)` `f^4(x) = d/(dx) cosh(x)= sinh(x)` `f^5(x) = d/(dx) sinh(x)= cosh(x)` Plug-in `x=0` on each `f^n(x)` , we get: `f(0) =sinh(0)=0` `f'(0) = cosh(0)=1` `f^2(0) = sinh(0)=0` `f^3(0) = cosh(0)=1` `f^4(0) = sinh(0)=0` `f^5(0) = cosh(0)=1` Plug-in the values on the formula for Maclaurin series, we get: `sum_(n=0)^oo (f^n(0)...

Merleau-Ponty focuses on embodiment, or how our bodies live and move and have being in the world. In "Eye and Mind," he looks at painters as embodied beings. Unlike scientists, who he understands as observing the world as if they are not a part of it, viewing it as an object "out there" to be studied, the painter necessarily immerses himself "in" the world. The painter's ways of seeing and moving become part of what he is painting. The painter sees, says Merleau-Ponty, with eyes that view the world, but these eyes also view himself, the painter, in the world. He paints with hands that are physically part of the world. His way of seeing is thus fundamentally different from the scientist's and more congruent with the reality of how humans actually interact with the world, for our bodies make us interconnected with the physical spaces we are observing. A painting is transformative because it reveals not just the detached object that the painter has re...

Like many of this author's stories, the setting of "Head and Shoulders" by F. Scott Fitzgerald is New England in about 1915-1920. Notice how the story starts in 1915 at Princeton University, which is in New Jersey, then quickly moves to Yale University in Connecticut as the main character, Horace Tarbox, finishes his undergraduate work and begins his graduate work. Later, Horace and Marcia, his love interest, move together to Westchester County, which is in New York. The setting stays in the northeast, then, in New England, and a few years go by as the story goes on, so you can best summarize the setting with the phrase "New England, around 1915-1920." Understanding the setting helps us pick up on details that exemplify that time period, like Marcia's being a "flapper." But more importantly, the time and place are important to our understanding of the story, because they give us a sense of what the characters are probably experiencing: a sense of l...

After the American Revolution, the U.S. was ruled under the short-lived Articles of Confederation. Ratified in 1781, the Articles lasted until 1789. The Articles of Confederation, as the name implies, set up a confederation of states that gave limited power to the federal government. As a result, the federal government could not regulate trade or issue currency. Different currencies complicated trade between states and with foreign countries, and the federal government also lacked the power to tax. As states did not always raise enough money through taxation or provide these funds to the federal government in a timely way, the federal government often faced budget shortfalls and struggled financially. Politically, the leadership of the country was weak. Without a President, the country could not conduct foreign relations with any authority or deal with uprisings. While the Confederation had the power to declare war, it did not have the power to raise an army. Instead, the government re...

Beatrice is mortified when Giovanni accuses her of having deliberately entrapped him and turned him into a poisonous being like herself.  When he exhales into a cloud of little bugs and twenty of them fall, dead, to the ground, she realizes what her father has done.  Rappaccini has wrought his "mortal science" on Giovanni in order to give his daughter a companion.  Upon this realization, Beatrice cries to Giovanni, "'Yes; spurn me! -- tread upon me! -- kill me!  Oh, what is death, after such words as thine?  But it was not I!  Not for a world of bliss would I have done it!'"  She is eager to prove her innocence, to impress upon Giovanni, the man she loves, that she would never have sought to manipulate him or corrupt his body in this way.  He has spoken to her so harshly that death seems like a blessing to her. Further, when Giovanni presents her with the vial of potion mixed by Baglioni, the potion which he's been promised will rid the poison from his s...

Bromden is a character for whom silence acts as a sort of power within One Flew Over the Cuckoo's Nest . While he has lived on the ward silently for a great period of time and cannot make deep connections with its residents, he nevertheless experiences a form of personal power in the ability to remain relatively unnoticed by staff. As such, he overhears their conversations and meetings and is privy to information he might otherwise not have. Yet, when McMurphy proposes a fishing trip within the novel, Bromden feels a sense of deep inner conflict. He wants to put his name on the sign-up sheet for the boating trip, but realizes that doing so will signal to both patients and staff that his deafness/muteness is not genuine. Kesey writes of Bromden's inner-debate: "I didn't have the money, but I kept getting this notion that I wanted to sign the list. And the more [McMurphy] talked about fishing for Chinook salmon the more I wanted to go. I knew it was a fool thing to want;...

The human body uses a few different sources when it looks to increase its internal temperature. The most consistent and reliable form is the heat energy created through friction as muscles rub together during movement. As energy is used in the body, heat energy radiates from muscles and other respirating cells. This heat is then picked up by the blood and transferred around the body. Most muscle groups are filled with very fine capillaries that web through the tissue. As you move and use up energy, the heat is absorbed into your blood stream and carried around your body to help regulate your temperature. This can be seen whenever your body temperature is too high or too low. If your body temperature drops too low, your skin normally becomes paler. This is due to your blood vessels constricting and diverting most of your blood to your core in order to protect vital organs. You also begin to shiver in an attempt to generate more heat through muscle friction. When you begin to overheat, y...

There are two questions here. I am answering the first of the questions (number 3 on the worksheet) as the policy is one question per post. The length AB is equal to the radius of the circles (which have the same radius), as are the lengths AC and AD, BC and BD, so we have AB = AC = AD = BC = BD = 1 This implies that both the triangles ABC and ABD are equilateral triangles with equal lengths of sides 1 and equal angles of 180/3 = 60 degrees. Angle CAD is equal to angles CAB + BAD = 120 degrees. The area of the circle segment from C to D is then a third of the area of the circle centered at A, since CAD = 120 = 360/3 (a third of the full 360 degrees of the circle). The area of the circle centered at A is given by the formula for the area of a circle Area =  `pi r^2 `  where r is the radius. Here we have `r=1 `, so that the area is equal to `pi ` . The area of the circle segment from C to D (call this area S) is hence a third of this. So we have that the area `S = pi/3 `. The shaded area...

There are many topics that future U.S. History textbooks would cover about our current time period. One topic that would be covered would be politics. Future textbooks would very likely cover topics such as political gridlock, unhappiness with some of our political leaders, and the election of 2016. Textbooks would explain how the political parties were moving further away from each philosophically. As a result, there was less room for compromise by either party. This led to significant inaction at the federal level. The textbooks would explain how unhappy people were with our political leaders and our political system because so little was getting done. The textbooks would show how Donald Trump used this dissatisfaction to help him become the Republican nominee in 2016. The textbooks would show how Bernie Sanders was able to garner a great deal of political support, even if he didn’t get the Democratic nomination. The textbooks probably would cover how and why the Supreme Court had a ...