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### Question #2010053: Derivatives: General Problems

Question: Solve the following integral $\int{\frac{x-1}{{{x}^{2}}-4x-5}dx}$ Solution: The solution consists of 96 words (2 pages)Deliverables: Word Document

### Question #2010224: Other Calculus Problems

Question: The height h in feet of an object after t seconds is given by the function h = –16t2 + 60t + 6. How long will it take the…

### Question #2010429: General Differentiation

Question: Given $$f\left( x,y \right)=\ln \sqrt{{{x}^{2}}+{{y}^{2}}}$$, find (a) The direction and maximum rate of increase of $$f\left( x,y \right)$$ at (1, 2). (b) The directional derivative of $$f\left( x,y \right)$$…

### Question #2010445: Other Calculus Problems

Question: Find the centroid of the solid region of uniform density between the xy-plane and the paraboloid $z=4-\left( {{x}^{2}}+{{y}^{2}} \right)$ Solution: The solution consists of 76 words (2 pages)Deliverables: Word…

### Question #2010468: Other Calculus Problems

Question: Using spherical coordinates find the volume of the solid bounded below by the cone $${{x}^{2}}+{{y}^{2}}=3{{z}^{2}}$$, and the above sphere $${{x}^{2}}+{{y}^{2}}+{{z}^{2}}=4$$ Solution: The solution consists of 95 words (2 pages)Deliverables:…

### Question #2010547: Other Calculus Problems

Question: Determine the absolute minimum and maximum of $$y=\frac{{{x}^{2}}+4}{x}$$. on the interval [1, 5]. Solution: The solution consists of 130 words (1 page)Deliverables: Word Document

### Question #2010634: Derivatives: General Problems

Question: Find the absolute maximum and minimum values of $$h(x)=x+\frac{9}{x}+2$$ on the interval [1,10]. Solution: The solution consists of 86 words (1 page)Deliverables: Word Document

### Question #2010828: Calculus, Integration by substitution and change of variables

Question: Solve the following Cauchy-Euler equation ${{x}^{2}}y''+2xy'-2y=2-\ln \left( {{x}^{4}} \right)$ Solution: The solution consists of 202 words (3 pages)Deliverables: Word Document

### Question #2011094: Derivatives – The Chain Rule

Question: Find both first partial derivatives $z=\ln \sqrt{xy}$ Solution: The solution consists of 23 words (1 page)Deliverables: Word Document