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Question: There is exactly one point a where both right-hand and left-hand limit fail to exist. Describe the behavior of \(f\left( x \right)\) for x near that point. \[f\left( x…

Question: Differentiate \[f\left( t \right)=\frac{1}{{{\left( t+\frac{1}{t} \right)}^{2}}}\] Solution: The solution consists of 26 words (1 page)Deliverables: Word Document

Question: Differentiate: \[f\left( x \right)=\sqrt{1-\sqrt[3]{x}}\] Solution: The solution consists of 13 words (1 page)Deliverables: Word Document

Question: Differentiate: \[y={{x}^{3}}{{\tan }^{3}}{{x}^{3}}\] Solution: The solution consists of 28 words (1 page)Deliverables: Word Document

Question: Solve the initial value problem \[\frac{dy}{dx}=\sqrt{x+5};\,\,\,y\left( 4 \right)=-3\] Solution: The solution consists of 42 words (1 page)Deliverables: Word Document

Question: Evaluate \[\int{\frac{dx}{{{\left( 3-5x \right)}^{2}}}}\] Solution: The solution consists of 23 words (1 page)Deliverables: Word Document

Question: Surface Area A solid is formed by adjoining two hemi-spheres to the ends of a right circular cylinder. The total volume of the solid is 12 cubic centimeters. Find…

Question: A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters in order to provide enough grass for the herd. What…

Question: Given: \(h(x)=\left\{ \begin{matrix} x \\ -1 \\ x-4 \\ \end{matrix}\text{ }\begin{matrix} x\le -1 \\ -1<x<3 \\ x>3 \\ \end{matrix} \right.\) (A) \(\underset{x\to -{{1}^{+}}}{\mathop{\lim }}\,h(x)\) (B) \(\underset{x\to -{{1}^{-}}}{\mathop{\lim }}\,h(x)\) (C)…

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