# Chapter72007 - H see diagram L . If the tank is filled with...

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Chapter 7 Test January 26, 2007 No Calculators Name 1. Find the area of the region bounded by the graphs of the equations y = » x » and y = "############ x + 2 2. A solid has as its base the region in the xy - plane bounded by the graphs of the equations y = x 2 and x = y 2 . 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. 3. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = "############### 1 - x 2 and y = 2 - 2x 2 about the x - axis.

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4. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = sin x and y = 0, on the interval @ 0, p D , about the y - axis 5. Find the length of the arc for x = y 4 ÄÄÄÄÄÄÄ 16 + 1 ÄÄÄÄÄÄÄÄÄÄÄÄ 2y 2 from i k j j j 9 ÄÄÄÄÄ 8 , - 2 y { z z z to i k j j j 9 ÄÄÄÄÄÄÄ 16 , - 1 y { z z z . 6. A force of 10 Newtons is required to stretch a 20 cm spring to a length of 26 cm. Find the work done in stretching the spring from a length of 24 cm to 28 cm.
7. A tank is in the shape of a cylinder, lying on its side, and has a length of 8 feet and radius 3 feet

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Unformatted text preview: H see diagram L . If the tank is filled with oil weighing 50 lbs ft 3 , find the force exerted on one end of the tank. 8. A tank has the shape of an inverted right rectangular pyramid, with the top a square of length 6 feet, and the height 9 feet H see diagram L . The tank is only partially filled, to a position 3 feet from the top of the tank. If the tank is filled with oil weighing 40 lbs ft 3 , find the work done in pumping all of the oil to the rim of the tank. 9. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations x y = 2, y = 1, and y = 2, about the line y = -1. 10. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 3 x , y = 0, x = -1, and x = 1, about the line y = 3....
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## This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at University of California, Berkeley.

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Chapter72007 - H see diagram L . If the tank is filled with...

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