Chapter72005 - Chapter 7 Test 1. February 1, 2005 No...

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Chapter 7 Test February 1, 2005 No Calculators Name 1. Find the area of the region bounded by the graphs of the equations y 2 = 4 + x and y 2 + x = 2. 2. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations x = è!!!!!!!!!!!!!!!!! 25 y 2 and x = 3 about the y axis. 3. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = è!!!!!!!!!!!! x 2, y = 1 and x = 6 about the x axis.
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4. A solid has as its base the region in the xy plane determined by the graphs of the equations x = y 2 and x = 4. Every cross section by a plane perpendicular to the y axis is a square, with one side in the xy plane. Find the volume of the solid. 5. Find the length of the arc for f H x L = 3x 2 ccc 3 10 from H 8, 2 L to H 27, 17 L . 6. An inverted conical tank has height 8 feet and radius 4 feet. The tank is filled to within 2 feet of the top with oil weighing 20 lb ccccccccc ft 3 H see diagram L . Find the work done in pumping the oil to the level of the top of the tank.
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Chapter72005 - Chapter 7 Test 1. February 1, 2005 No...

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