Find the volume of the solid of revolution obtained by rotating the region bounded by the curves y = √√x-2 and y = 0 and x = 6 about the y axis. 1. The integral expressing the volume using the shell method is: • A. 2π • B. 2π • C. 2π √² (x+2) (√x− 2) dx fox (√x − 2) dx So² (x+2) D. None of these ⚫ E. 2π (√x− 2) dx = √° x ( √x − 2) dx 2. The integral expressing the volume using the washer method is: • A. None of these • B. лf² (36-(y²+2)²)dy π • С. л (36-(y²+2))dy • D. π (36—(y+2)²)dy E. π (36-(y²+2)²)dy

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 19E
Question
100%
Find the volume of the solid of revolution obtained by rotating the
region bounded by the curves y = √√x-2 and y = 0 and x = 6
about the y axis.
1. The integral expressing the volume using the shell method is:
• A. 2π
• B. 2π
• C. 2π
√² (x+2) (√x− 2) dx
fox (√x − 2) dx
So²
(x+2)
D. None of these
⚫ E. 2π
(√x− 2) dx
= √° x ( √x − 2) dx
2. The integral expressing the volume using the washer method
is:
• A. None of these
• B. лf² (36-(y²+2)²)dy
π
• С. л
(36-(y²+2))dy
• D. π
(36—(y+2)²)dy
E. π (36-(y²+2)²)dy
Transcribed Image Text:Find the volume of the solid of revolution obtained by rotating the region bounded by the curves y = √√x-2 and y = 0 and x = 6 about the y axis. 1. The integral expressing the volume using the shell method is: • A. 2π • B. 2π • C. 2π √² (x+2) (√x− 2) dx fox (√x − 2) dx So² (x+2) D. None of these ⚫ E. 2π (√x− 2) dx = √° x ( √x − 2) dx 2. The integral expressing the volume using the washer method is: • A. None of these • B. лf² (36-(y²+2)²)dy π • С. л (36-(y²+2))dy • D. π (36—(y+2)²)dy E. π (36-(y²+2)²)dy
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