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Only an acute angle, a positive angle less than 90 degrees, will have a compliment. Therefore an angle of 150 degrees has no compliment. On the other hand, our given angle has a supplement as it is...

As with any gift giving to another country or culture, it is important to do research to avoid giving insult. For example, a gift of wine to relatives or friends in Italy might be considered...

Note:- 1) If y = sinx ; then dy/dx = cosx 2) If y = cosecx ; then dy/dx = -cosecx*cotx Now, `y = -cosec(x) - sin(x)` `dy/dx = y' = cosec(x)*cot(x)-cos(x)` ``

One of Sigmund Freud's main themes in "The Uncanny" was to draw attention to the uneasy feelings created by repetition of thoughts, places, or ideas. In this sense he predated the concept of Déjà...

Rewrite the `1/x` term as a fraction. `y= x^-1 -3sin(x)` Take the derivative of the first term using the power rule. `y'=-x^-2 -3cos(x)` Simplify and eliminate the negative exponent. The answer...

You need to find derivative of the function using quotient rule: `y' = (x'*(sqrt (x^4+4)) - x*(sqrt (x^4+4))')/(x^4+4)` `y' = 1*(sqrt (x^4+4)) - x*(((x^4+4)')/(2sqrt (x^4+4)))/(x^4+4)` `y' = ((sqrt...

With the hyperbolic first words, "The thousand injuries of Fortunato I had borne as I best could.." followed by the detailed three-step requirements for perfect revenge, the reader is alerted to...

In The Reluctant Fundamentalist, I think that some of the most important elements rests in how Changez changes over the course of the novel. I tend to think that the ways that Changez changes...

The taylor series expansion of `cos(x)=sum_(n=0)^oo (-1)^nx^(2n)/(2n!)` `cos(x^2)=sum_(n=0)^oo(-1)^n(x^2)^(2n)/(2n!)` `cos(x^2)=1-x^4/(2!)+x^8/(4!)-x^12/(6!)+ ......` Now considering expansion upto...

Tom Robinson is a great example of a mockingbird. In chapter 10, Atticus explains to Jem and Scout about how it a sin to kill a mockingbird. "I'd rather you shot at tin cans in the backyard, but...

Use the formula IV flow rate (gtt/min) = Volume (ml)/time(hr) * drop factor (gtt/ml) In the current case, volume/time = 75 ml/hr (given rate) and drop factor = 15 gtt/ml Thus, the IV flow rate...

I believe that your inquiry is to figure out a good topic for research that would include ALL English speakers from every country that speaks English. If this is the case, the first thing to...

A) `5x^3+25x^2 - 15x = 5x(x^2 + 5x - 3)` B) `16x^5 + 24x^3 - 32x^2 = 8x^2(2x^3+3x - 4)`

Given the polynomial f=4x^3 - 12x^2 + mx + n, we have to find m and n if f(x) = 0 for x= i Now for x = i f(i) = 4x^3 - 12x^2 + mx + n => 4*i^3 - 12*i^2 + m*i + n = 0 => -4i + 12 + mi + n =0...

Formula for amplitude: if y = a sin bx, amplitude is the absolute value of a Amplitude of .25 Formula for period: if y = a sin bx, period is 2pi/b 2pi cancels 2pi Period of 1

Materials needed: Small glass cup, 180 grams piece of ice taken from the fridge, thermometer, 10 V voltage DC voltage source, 10 ohm/20 W resistor, chronometer. Experiment: Place the ice into the...

The evidence for this will mostly come from the Puritan colonies, founded in New England. Settlers in Virginia were not entirely secular in their outlook, but most were not seeking a haven, they...

The field trip to the Victoria and Albert contains some episodes of interest to the reader as Pamela asserts herself on the bus after overhearing the women riders remark on the "shameless young...

It is not certain how Jeffrey got to Arnold. Some say he hopped the fence, others say he just opened the gate and strolled into the backyard. Whatever the case, Arnold "fainted dead away" when he...

(`sinx)^4 + (cosx)^4 = sin2x` `(sin^2 x)^2 + (cos^2 x)^2 = sin2x ` `==gt (sin^2 x + cos^2 x)^2 - 2sin^2x cos^2 x = sin2x ` `==gt 1 - 2sin^2 cos^2 x = sin2x ` `==gt 1-2sinxcosx(sinxcosx) = sin2x `...

This is a coming-of-age story (a bildingsroman) which stars Wilbur (a pig), Charlotte (a spider), and Fern (the little girl who loves Wilbur). There are a host of other animals and human...

I am not sure if this would count, but what about a booth at a fair? You can create a project for selling there, and just have the business while the fair is open. Another optioin is a...

Had the Queen of Sheba lived in the flat across the air shaft, Della would have let her hair hang out the window someday to dry, just to depreciate Her Majesty's jewels and gifts. Had King...

Victoria has a talent for being extremely cunning and elusive. Although she is introduced in "Twilight", her story does not end until Eclipse. If you think back to "Twilight", after James begins to...

Paul's mother defines luck this way, when Paul asks her: "It's what causes you to have money. If you're lucky you have money. That's why it's better to be born lucky than rich. If you're rich, you...

To a large extent the answer to this question depends on which branch of Christianity one is talking about, though it is safe to say that women's roles are contested in virtually all of them. Part...

One way in which Rosalind's humor is healthy is with respect to the fact that she often uses humor to make the most of a bad situation. We see one example of this type of humor in the very first...

If a rectangle is inscribed in a circle, the diameter of the circle forms the diagonal of the rectangle. Let the sides of the rectangle be W and L, we get 4R^2 = L^2 + W^2 and the area of the...

In anything you write, the topic sentence is the most important sentence in a paragraph. And, it's almost always the most difficult sentence in the paragraph to write for most people. Here's a...

`int 7xln(4x)dx` The formula for integration by parts is `int udv = uv - intvdu` . So let, `u = ln(4x)` and `dv= 7x dx` Then, determine du and v. `du = 1/(4x)*4 dx `...

When Odysseus goes hunting in Book 10, he finds a great stag. He uses the meat to revive the energy and spirits of his men. After that is when he and his men encounter Circe and the men are...

The character of Undine Spragg is meant to embody the social naivete that often accompanies the newly-rich: this is evident in her fixation with "names and last names", the need to catch up with...

I assume that you are asking what book of the Bible Faber reads to Montag. This happens right after Montag comes to Faber's house and Faber gives Montag the "bullet" that is going to allow Faber...

I think that there are going to be different points of view on this particular question. I would say that one of the most significant elements of President Obama's economic policy is wrestling...

Scholars argue that the 1960 presidential race between John F. Kennedy and Richard Nixon was the very first modern presidential election due to the sudden importance of television. By 1960, the...

effect of the poem developed through the use of emotions, the imagination, ideas, meaning, sentiment, passion, power, sense expression, interpretation, beauty dignity, freshness of expression,...

The practical application of different aspects of memory in a professional setting entails the activation of sensory, short, or long term memory for the production or completion of tasks. One...

How does Romeo create problems for the public and his family and friends in Act 1 scene 1? When Romeo first appears he is bemoaning his failed love for Rosaline. The family is continuously trying...

Your username does not indicate your grade level. If you are a college student, you can go to your school library and ask the research librarian for help. The librarian will show you which...

In Europe, Tolstoy, Zola, Sir Walter Scott, Edward Bulwer-Lytton, and Sheridan Le Fanu just to name a few. According the Enotes article (link provided below), mostly in Europe the Victorian novel...

It is important to note that Ben is only six years old, and even without his slight autistic tendencies, a six-year-old would not be expected to understand and react to nature and the world in the...

The role of Congressional committees in the legislative process is to act as the experts on a given topic. They use their expertise to amend proposals in their policy area. Congress, of course,...

In modern phylogenetics there are, broadly, two approaches; morphology and genetics. Morphology involves measuring and comparing the shapes and sizes of different body parts, and genetics involves...

Abigail represents Miller's theme of power being used for unjust ends in a couple of ways. The construction of "the other" as something to be feared and demonized is what Abigail does better than...

A judge who is considered an "activist" believes "that in determining whether laws would meet constitutional muster," he/ she acted "more as a legislative body than as a judicial body." The...

Setting aside for a moment advances in technology, media changes when worldviews change. For example, a world economy has caused media to include world financial news in its coverage. Again, if...

The answer to this could be different for different people. Different people think that different things are important and so will have different priorities when picking an employer. Some...

The constructionist philosophy of education is an alternative to the more traditional "banking" style of education. The banking style basically treats teaching as a transferal of knowledge; the...

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The answer to this question has to relate to the way in which this famous poem gives a list of characteristics that the reader or listener of this poem must possess if they are to be "a Man." Thus,...