2 The region bounded by the y-axis and the curve y = 6x - x²: D[0,3] is rotated around the y-axis. The volume of the resulting solid of revolution is given by: 3 S 2 6x - x² dx 0 3 L'mbx n(6x - x²)² dx 0 9 n(3+√√9- y)² dy n(3-√9 - y)² dy -- A. B. C. D. 0 S

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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The region bounded by the y-axis and the curve y
around the y-axis. The volume of the resulting solid
3
S
2
6x - x² dx
0
3
L'mbx
n(6x - x²)² dx
0
9
[²
n(3+√√9- y)² dy
0
S
n(3-√9 - y)² dy
A.
B.
C.
D.
2
6x - x² D[0,3] is rotated
of revolution is given by:
Transcribed Image Text:The region bounded by the y-axis and the curve y around the y-axis. The volume of the resulting solid 3 S 2 6x - x² dx 0 3 L'mbx n(6x - x²)² dx 0 9 [² n(3+√√9- y)² dy 0 S n(3-√9 - y)² dy A. B. C. D. 2 6x - x² D[0,3] is rotated of revolution is given by:
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