Chapter72003solutions

Chapter72003solutions - Chapter 7 Test 1 February 4 2003 No...

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Chapter 7 Test February 4, 2003 No Calculators Name 1. Find the area of the region bounded by the graphs of the equations x = y 3 and y =− x + 2 and y 2. A = 2 1 H 2 y y 3 L dy = A 2 y 1 cccc 2 y 2 1 cccc 4 y 4 E 2 1 = i k j j 2 1 cccc 2 1 cccc 4 y { z z H 4 2 4 L = 5 cccc 4 + 10 = 11 1 cccc 4 2. Find the volume of the solid generated by revolving the region bounded by y = 1 cccc 2 x + 1, y x + 1, and x = 3 about the y axis. V shells = 2 π 0 3 x i k j j 1 cccc 2 x + 1 + x 1 y { z z dx = 2 π 0 3 3 cccc 2 x 2 dx = 3 π i k j j 1 cccc 3 y { z z @ x 3 D 0 3 = 27 π or V washers = 1 5 ccc 2 @ 3 2 H 2 y 2 L 2 D dy + 2 1 @ 3 2 H y + 1 L 2 D dy
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3. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = è!!! x, y =− x 2 + 2, and x = 0 about the x axis. V washers 0 1 AH x 2 + 2 L 2 I è!!! x M 2 E dx 0 1 H 4 4 x 2 + x 4 x L dx A 1 cccc 5 x 5 4 cccc 3 x 3 1 cccc 2 x 2 + 4 x E 0 1 i k j j 1 cccc 5 4 cccc 3 1 cccc
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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 Berkeley.

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Chapter72003solutions - Chapter 7 Test 1 February 4 2003 No...

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