Math 129 - handout(section8.2)

Math 129 - handout(section8.2) - Math 129 Section 8.2 1...

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Math 129 Section 8.2 1. Consider the region bounded by the curve y=e x the x-axis and the lines x=-,1 and x=1. Find the volume of the following solids: A. The solid obtained by rotating the region about the x-axis. B. The solid obtained by rotating the region about the horizontal line y=-5. 2. Find the volume of the solid whose base is the region in the xy-plane bounded by the first arch of y=sin x and y=-sin x and whose cross sections perpendicular to x –axis are squares with one side in the xy plane.
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3*. Find the volume of the solid whose base is the region in the xy-plane bounded by the curves y= x 2 and y=8-x 2 whose cross sections perpendicular to x –axis are squares with one side in the xy plane. 4*. Find the exact volume of the solid obtained by revolving the region between the graph of y=4-x 2 and the x-axis about the line y=5. 5*. The region bounded by y=x 3 , x=2, and y=-1 is revolved about the line ,y=-8. Sketch the picture of the solid, and find its volume.
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6*. Sketch a picture of the solid obtained by revolving the region bounded by the curve
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Math 129 - handout(section8.2) - Math 129 Section 8.2 1...

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