Question 9 Consider the region R bounded by the curves y = V2x, y = 2, and the y-axis, shown here: (0, 2) (4, 2) R (0, 0) -3 -2 2 3 (a) Use the disk & washer method only to find the exact volume of the solid created when R is rotated around the x-axis. (b) Use the cylindrical shell method only to find the exact volume of the solid created when R is rotated around the y-axis. Note: Your solutions to both parts must include a sketch of the region, the solid of revolution, and a representative disk, washer, or cylindrical shell.
Question 9 Consider the region R bounded by the curves y = V2x, y = 2, and the y-axis, shown here: (0, 2) (4, 2) R (0, 0) -3 -2 2 3 (a) Use the disk & washer method only to find the exact volume of the solid created when R is rotated around the x-axis. (b) Use the cylindrical shell method only to find the exact volume of the solid created when R is rotated around the y-axis. Note: Your solutions to both parts must include a sketch of the region, the solid of revolution, and a representative disk, washer, or cylindrical shell.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please include a sketch of the region, the solid of revolution, and a representative disk, washer, or cylindrical cell for both sections of the question, i am very confused! thank you!
Transcribed Image Text:Question 9
Consider the region R bounded by the curves y =
V2x, y = 2, and the y-axis, shown here:
(0, 2)
(4, 2)
R
(0, 0)
-3
-2
2
3
(a) Use the disk & washer method only to find the exact volume of the solid created when
R is rotated around the x-axis.
(b) Use the cylindrical shell method only to find the exact volume of the solid created
when R is rotated around the y-axis.
Note: Your solutions to both parts must include a sketch of the region, the solid of revolution,
and a representative disk, washer, or cylindrical shell.
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