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### Question #2003933: General Integration Problems

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 #2003956: Derivatives – The Chain Rule

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

### Question #2003988: General Differentiation

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 #2004031: Derivatives: General Problems

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 #2004134: Other Calculus Problems

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)…

### Question #2004156: Other Calculus Problems

Question: Use the graph of y = f ’(x) to find the intervals where f is increasing, the intervals where f is decreasing, and the local extrema. Also, find the…

### Question #2004179: Integration by substitution and change of variables

Question: Use substitution method for integration. Solution: The solution consists of 27 words (1 page)Deliverables: Word Document

### Question #2004253: The Fundamental Theorem of Calculus

Question: Problem 2. Evaluate the definite integral. \[\int\limits_{2}^{5}{\frac{2}{5x+2}dx}\] Solution: The solution consists of 27 words (1 page)Deliverables: Word Document

### Question #2004272: Other Calculus Problems

Question: Problem 6. “Graph” the function \[f(x)=\frac{{{x}^{2}}+2}{x}\]. Use the fact that \[\begin{align} & {f}'(x)=\frac{{{x}^{2}}-2}{{{x}^{2}}} \\ & \\ \end{align}\] \[\begin{align} & {f}''(x)=\frac{4}{{{x}^{3}}} \\ & \\ \end{align}\] Find: (a) Domain. (b) x-…