D Question 9 Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded by the curves y=-2² +4 and y=-2+2 about the x-axis. - ° = [(-2² + 4)-(-2+ 2)]³dz (-z + 2)² - (-2² + 4)³²) dz ° = ₁ [(-2²+4)² − (−2+ 2)²] dz - 02= [(-2² + 4) =(-2+ 2)] dz ° 2ª S = [(-x + 2) − (−2²³ + 4)] de

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 14E
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Question 9
Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded
by the curves y=-² +4 and y=-x+ 2 about the x-axis.
= [(-2² + 4)-(-2+2)]³dz
= ₁ [(-x + 2)² = (-²³² + 4)²] dz
T
=
[(-2²+4)² - (-2+ 2)²] de
0 2 ₁ [(-2² + 4) − (−2+2)] dz
O
© 2= S = (-2+2) − (−2² + 4)] dz
Transcribed Image Text:Question 9 Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded by the curves y=-² +4 and y=-x+ 2 about the x-axis. = [(-2² + 4)-(-2+2)]³dz = ₁ [(-x + 2)² = (-²³² + 4)²] dz T = [(-2²+4)² - (-2+ 2)²] de 0 2 ₁ [(-2² + 4) − (−2+2)] dz O © 2= S = (-2+2) − (−2² + 4)] dz
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