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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 functiony=(x4)-(4x3)-(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…

Question: Find \(\underset{x\to 3}{\mathop{\lim }}\,\frac{{{x}^{2}}+2x-15}{{{x}^{2}}-9}\) Solution: The solution consists of 19 words (1 page)Deliverables: Word Document

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