MTH 133 Midterm: MTH 133 Midterm 1
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Q1 find the volume of the following rotating solids. (a)(vertical axe) the region r is bounded by y = x 1, y = 2, x = 0, y = 0. The solid is generated by revolving the region r about the y axis. Sketch the region r and the rotating solid s. find the volume of the rotating solid. (b)(horizontal axe) the region r is bounded by y = x 1, y = 0, x = 5. The solid is generated by revolving the region r about the axis y = 1. Sketch the region r and the rotating solid s. find the volume of the rotating solid. Below is the graph of a force function f (x) (in lbs). y (lb) y = f (x) Q3(water-pumping) a tank is in the shape of a downward-pointing cone (vertex at the bottom) has height. It is lled of soda half the height of the full tank (1 ft above the bottom. )
