1) Let C be the segment y = 2t + 1 for t = [1,3]. (a) Use geometry to calculate the area of the surface obtained by rotating C about the t-axis. (b) Use the surface integral formula to verify the answer that you got in (a).
1) Let C be the segment y = 2t + 1 for t = [1,3]. (a) Use geometry to calculate the area of the surface obtained by rotating C about the t-axis. (b) Use the surface integral formula to verify the answer that you got in (a).
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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![(1) Let C be the segment y = 2t + 1 for t € [1,3].
(a) Use geometry to calculate the area of the surface obtained by rotating C about the
t-axis.
(b) Use the surface integral formula to verify the answer that you got in (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe73d2f7-f48d-4799-ad26-f906d4f73fa5%2Ffbf97e33-02b5-4fdc-9e3c-bdc3ca6e6fc0%2Fvby1gv_processed.png&w=3840&q=75)
Transcribed Image Text:(1) Let C be the segment y = 2t + 1 for t € [1,3].
(a) Use geometry to calculate the area of the surface obtained by rotating C about the
t-axis.
(b) Use the surface integral formula to verify the answer that you got in (a).
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