Question: Find a simplified expression (involving a sum and a limit) for the area under the curve \(f\left( x \right)=x{{e}^{x}}\) between x = 0 and x = 2. You should…

Question: Find the length of the asteroid \[\left\{ \begin{align} & x={{\cos }^{3}}t,\,\,\,\,0\le t\le 2\pi \\ & y={{\sin }^{3}}t \\ \end{align} \right.\] Solution: The solution consists of 81 words (1 page)Deliverables:…

Question: Compute \(\int\limits_{1}^{9}{\left( \sqrt{t}-\frac{4}{\sqrt{t}} \right)dt}\) Solution: The solution consists of 29 words (1 page)Deliverables: Word Document

Question: Evaluate the following improper integral \(\int\limits_{3}^{\infty }{\frac{1}{\sqrt[3]{2x-1}}}dx\) Solution: The solution consists of 25 words (1 page)Deliverables: Word Document

Question: Evaluate the integral \(\int{\left( 10{{x}^{3/2}}+\frac{1}{x}-\frac{6}{{{x}^{3}}} \right)dx}\) Solution: The solution consists of 22 words (1 page)Deliverables: Word Document

Question: For speeds between 35 and 65 miles per hour, a diesel truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel…

Question: Find all point of inflection of the graph of the function y=\(x^4-4x^3-6x\) Solution: The solution consists of 48 words (1 page)Deliverables: Word Document

Question: The electric current I (in A) that passes through a point in a circuit over the interval from t = 1s to t = 3s is \(I=\int\limits_{1}^{3}{\left( {{t}^{2}}+\frac{1}{2{{t}^{2}}} \right)dt}\). Evaluate this…