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) For each solid below set up, but do not evaluate, integrals which give the surface area of the solid. (a) y = x² for 0 ≤ x ≤ 2 rotated around the y-axis. (b) x = r(t - sint), y = r(1 - cost) for 0 ≤ t ≤ 2π around the x-axis.

) For each solid below set up, but do not evaluate, integrals which give the surface area of the solid. (a) y = x² for 0 ≤ x ≤ 2 rotated around the y-axis. (b) x = r(t - sint), y = r(1 - cost) for 0 ≤ t ≤ 2π around the x-axis.

Advanced Engineering Mathematics
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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(11) For each solid below set up, but do not evaluate, integrals which give the surface area of the solid. (a) y = x² for 0 ≤ x ≤ 2 rotated around the y-axis. (b) x = r(t - sin t), y = r(1 − cos t) for 0 ≤ t ≤ 2π around the x-axis.
Transcribed Image Text:(11) For each solid below set up, but do not evaluate, integrals which give the surface area of the solid. (a) y = x² for 0 ≤ x ≤ 2 rotated around the y-axis. (b) x = r(t - sin t), y = r(1 − cos t) for 0 ≤ t ≤ 2π around the x-axis.
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