math midterm 2 pratice sheet

math midterm 2 pratice sheet - MATH 126 Practice Sheet...

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Unformatted text preview: MATH 126 Practice Sheet Midterm 2 08/03/14 Mathias Knape 1. Find the length of the curve y = 2 3 ( x 1) 3 2 , 5 x 8 . 2. Does the sequence converge? If so, find its limit: a n = n + 1 n 1 n 3. A monkey is 10 ft of the ground in a tree with a long rope. She spots a bunch of bananas directly below on the ground and manages to lasso the bananas with the rope. If the bunch of bananas weigh 15 lbs, and the rope weighs 2 lbs per foot, how much work is done by the monkey in pulling up the bunch of bananas? 4. Consider the region between the two curves y = 1 x and y = 1 x +1 in the first quadrant. (a) Use the washer method to set up an integral for the volume of the solid obtained by rotating the region for x 1 around the x-axis. (b) Use the shell method to set up an integral for the volume of the solid obtained by rotating the region for 0 x 1 around the y-axis....
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This note was uploaded on 06/01/2008 for the course MATH 126 taught by Professor Mikulevicius during the Spring '07 term at USC.

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