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MathWe are asked to graph the function `y=(x^38)/(6x^2) ` : Factoring the numerator yields: `y=((x2)(x^2+2x+4))/(6x^2) ` There are vertical asymptotes at ` x=+sqrt(6) ` . The xintercept is 2 and...

MathWe are asked to graph the function ` y=(x^2+11x+18)/(2x+1) ` : Factoring the numerator yields: `y=((x+9)(x+2))/(2x+1) ` There is a vertical asymptote at x=1/2. The xintercepts are at 2,9. There...

MathWe are asked to graph the function `y=(x4)/(x^23x) ` : Factoring the numerator and denominator yields: `y=(x4)/(x(x3)) ` There are vertical asymptotes at x=0 and x=3. The xintercept is 4....

MathWe are asked to graph the function ` y=(x^29)/(2x^2+1) ` : Note that the denominator is always positive so there are no vertical asymptotes. (The domain is all real numbers.) The numerator factors...

MathWe are asked to graph the function `y=(8)/(x^2x6) ` : Factoring the denominator yields: `y=8/((x3)(x+2)) ` There are vertical asymptotes at x=2 and x=3. Since the degree of the denominator is...

MathWe are asked to graph the function `y=(2x)/(x^21) ` : Factoring the denominator we get: `y=(2x)/((x+1)(x1)) ` The graph has vertical asymptotes at x=1 and x=1. The horizontal asymptote is y=0....

MathWrite a rational function such that the domain is all real numbers except 8 and the range is all...We are asked to write a function whose domain is all real numbers except 8 and whose range is all real numbers except 3. An example of a function with similar restrictions on the domain and range...

MathTo be able to graph the rational function `y =(5x+3)/(x+16)` , we solve for possible asymptotes. Vertical asymptote exists at `x=a` that will satisfy `D(x)=0` on a rational function `f(x)=...

MathWe are asked to graph the function `y=(5x)/(2x+3) ` : The graph has a vertical asymptote at x=3/2. The graph has a horizontal asymptote at y=5/2. The domain is `RR{3/2} ` while the range is `...

MathWe are asked to graph the function `y=(6x1)/(3x1) ` : The graph has a vertical asymptote at x=1/3. The graph has a horizontal asymptote at y=2. Thus the domain is all reals except 1/3 and the...

MathWe are asked to graph the function ` y=(5x+2)/(4x+5) ` : There is a vertical asymptote at x=5/4 . Since the degree of the numerator is the same as that of the denominator, there is a horizontal...

MathWe are asked to graph the function `y=(8x+3)/(2x6) ` : There is a vertical asymptote at x=3. Since the degrees of the numerator and denominator agree, the horizontal asymptote is y=4. The...

Math`y=(x+6)/(4x8)` First, determine the vertical asymptote of the rational function. Take note that vertical asymptote refers to the values of x that make the function undefined. Since it is...

Math`y=(x1)/(x+5)` First, determine the vertical asymptote of the rational function. Take note that vertical asymptote refers to the values of x that make the function undefined. Since it is undefined...

MathTo be able to graph the rational function `y =(x+4)/(x3)` , we solve for possible asymptotes. Vertical asymptote exists at `x=a` that will satisfy `D(x)=0 ` on a rational function `f(x)=...

MathThe given function `h(x)= 11/(x9)+9` is the same as: `h(x)= 11/(x9)+9 *(x9)/(x9)` `h(x)= 11/(x9)+(9x81)/(x9)` `h(x)=(11+(9x81))/(x9) ` `h(x)=(11+9x81)/(x9) ` `h(x) = (9x70)/(x9)` To...

MathThe given function `y = 3/(x4)1` is the same as: `y = 3/(x4)1*(x4)/(x4)` `y = 3/(x4)(x4)/(x4)` `y=(3(x4))/(x4)` `y=(3x+4)/(x4)` `y = (x+1)/(x4) ` To be able to graph the...

MathThe given function `y = 10/(x+7)5 ` is the same as: `y =10/(x+7)5(x+7)/(x+7)` `y=10/(x+7)(5x+35)/(x+7)` `y=(10(5x+35))/(x+7)` `y=(105x35)/(x+7)` `y = (5x25)/(x+7)` To be able to graph the...

MathWe are asked to graph the function `y=(4)/(x+4)+3 ` : Note that this is a transformation of the function y=1/x whose graph is a hyperbola. The transformation consists of a reflection over the...

MathWe are asked to graph the function `y=(2)/(x7) ` : Note that this is a transformation of the function y=1/x whose graph is a hyperbola. The graph has been reflected over the horizontal axis,...

MathTo be able to graph the given function `y=3/(x+2)` , we need to solve for the possible location of vertical asymptote. Vertical asymptote exist at x=a that will satsify `D(x)=0` on a rational...

MathWe are asked to graph the function `y=6/x+4 ` : Note that this is a transformation of the graph of y=1/x with a translation of 4 units up, a reflection over the horizontal axis, and a vertical...

MathThe given function `y = 5/x7` is the same as: `y = 5/x(7x)/x` `y = (57x)/x or y =(7x+5)/x.` To be able to graph the rational function `y =(7x+5)/x` , we solve for possible asymptotes. Vertical...

Math`f(x) = 1/(x+2)` First, determine the vertical asymptote of the rational function. Take note that vertical asymptote refers to the values of x that make the function undefined. Since it is...

Math`y=6/(x  1)` First, determine the vertical asymptote of the rational function. Take note that vertical asymptote refers to the values of x that make the function undefined. Since it is undefined...

MathThe given function `y = 3/x2` is the same as: `y = 3/x(2x)/x` `y = (32x)/x or y =(2x+3)/x.` To be able to graph the rational function `y =(2x+3)/x` , we solve for possible asymptotes. Vertical...

MathThe given function `y = 4/x+3` is the same as: `y = 4/x+(3x)/x` `y = (4+3x)/x` or `y =(3x+4)/x` . To be able to graph the rational function `y =(3x+4)/x` , we solve for possible asymptotes....

ScienceAn electromagnetic wave propagates in vacuum with the electric field `E_0 cos(kxomega t)` in the...The magnitude of the Poynting vector `S` can be found using the following relation. `S=1/mu_0(E xx B)` `E` ands `B` are perpendicular here so `sin(theta)` in the cross product is one. Therefore,...

ScienceWe will use conservation of energy to solve this problem. We need to consider the rotational energy of the cylinder and the translational energy of the center of mass. `E_i=E_f`...

ReferenceIn the movie, the banks and investment bankers basically collude to enrich themselves at the expense of investors. The main culprit in this fiasco is one Michael Burry, a hedgefund manager (played...

ScienceA square loop of wire of side length `L` containing a load resistor `R` is oriented perpendicular...The magnetic flux through the loop is the magnetic field times the component of the area vector that is parallel to field. `Phi_B=B_0*A cos(theta)=B_0*L^2 cos(omega t)` This generates an...

Law and PoliticsThis article is about which rights are protected under the Due Process Clauses of the 5th and 14th Amendments to the Constitution. The essential question related to this debate is whether these...

HistoryThere are many complexities and even uncertainties surrounding the events that caused the Salem witch trials. Historians do agree on certain facts:  Suspicion about witchcraft had existed for...

LiteratureFirst complete this sentence with appropriate names/words of your choice: "As [name of character]...It sounds like you've been given a creative assignment as a response to reading Franz Kafka's The Metamorphosis! The Metamorphosis is a novella which follows the transformation of Gregor Samsa, a...

LiteratureThis prompt is obviously based on Franz Kafka's story "The Metamorphosis" in which the protagonist, Gregor Samsa, wakes up to discover that he has been transformed into a giant insect. The point of...

ReferenceThe Robber's Cave experiment was conducted in 1954 by a famous social psychologist, Muzafer Sherif. In this experiment, 22 12yearold boys from white, middleclass, Protestant backgrounds with two...

ReferencePrejudice is a negative opinion about a person or group of people that is not based on actual experience. Discrimination occurs when a person acts on their prejudice. The development of prejudice...

PsychologyWhat is meant by shifting standards when judging members of different groups? What is an example?...The concept of shifting standards is defined as the idea that our judgements are based on something we hold to be standard, and these standards may shift depending on multiple factors. For example,...

HistoryBefore we compare and contrast the three systems, let's take a look at what the three represent. The encomienda system was originally instituted by the Spanish monarchy to exact tribute from its...

HistoryWhat was the New Deal?The New Deal is a term used to describe a broad series of experimental, socially liberal laws and programs that were designed to get people back to work during Great...

ScienceHello! 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...

History1.What is the Green New Deal? Would it be helpful/necessary today? Pick 2 Pillars to help explain...The Green New Deal follows from initiatives put into place after the Great Depression and during President Franklin D. Roosevelt’s administration. The initiatives were targeted at improving the...

Psychological DisorderSomatoform disorders are types of mental health problems in which patients exhibit physical symptoms that cannot fully be explained by medical conditions. Medical test results will be normal or...

Psychological DisorderUnipolar disorder, also called unipolar depression or major depressive disorder, is a single mood disorder in which individuals feel abnormally depressed for a period of at least two weeks. In...

Law and PoliticsTo summarize any article, we start by identifying the thesis statement. The thesis statement expresses the writer's claim or opinion, what the writer aims to prove throughout the whole article. The...

Law and PoliticsThis article argues that the Supreme Court case Terry v. Ohio (1968) was not necessary (in New York state) in order to allow police officers to search or frisk someone abut whom they had a...

HealthThe term “The War on Drugs” was popularized by the media when President Nixon gave a press conference in 1971 in which he declared drug abuse “public enemy number one.” In 2011, the Global...

HistoryAlvin Toffler's theory is based on his book, The Third Wave, which he published in 1980 with the intention of making it part of a trilogy. He posits that the First Wave was the agrarian society...

BusinessIs the unemployment rate an accurate depiction of the number of people who are NOT working in our...The unemployment rate does not count all jobless individuals. To be classified as unemployed, a person must be jobless, looking for a job, and available for work. People without jobs who do not fit...

Law and PoliticsWayne A. Logan addresses in this article what he sees as a problematic trend that threatens individuals’ constitutional rights—courts condoning police mistakes of law. These mistakes of law...