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1 - x = y 2 y = x 5 y = 2 and y = 0(see the diagram y l1 l2...

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Ma 116 First Quiz September 21, 2000 Problem I. A particle moves according to E r ( t ) = ( t 3 - 3 t ) E i + ( t 2 - 2 t ) E j . 1. Does the particle ever come to a stop? If so, when and where? 2. Is the particle ever moving straight up or down? If so, when and where? Problem II. Set up but do not evaluate an integral for the area enclosed by the curves
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Unformatted text preview: x = y 2 , y = x + 5, y = 2, and y = 0 (see the diagram). y l1 l2 c x Problem III. Sketch the region bounded by y = x 4 and y = 1. Set up but do not evaluate an integral for the area generated by revolving this region around the line y = 2....
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