1910fa17-practice-final.pdf - Practice Final Solutions Math 1910 Fall 2017 Problem 1 Z Compute 1 1 dx x2(x2 1)3\/2 Solution By taking the substitution x

1910fa17-practice-final.pdf - Practice Final Solutions Math...

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Practice Final Solutions Math 1910, Fall 2017 Problem 1ComputeZ11x2(x2+ 1)3/2dx. 1
Problem 2A conical tank has a height of3m and a radius of 1m. The top of the tankis the circle of radius 1m and the bottom is the “sharp” end. The bottom ofthe tank is 3m above the ground. Find the amount of work required to pumpthe tank half full if it starts out empty (water enters the tank through a pipeattached at the bottom). Useg= 10 N/kg for the gravitational constant and1000kg/m3for the density of water.

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