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Find the length of the entire perimeter of the region inside r = 15 sin 0 but outside r = = 4. Answer:

Find the length of the entire perimeter of the region inside r = 15 sin 0 but outside r = = 4. Answer:

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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Find the length of the entire perimeter of the region inside r = 15 sin 0 but outside r = 4. Answer:
Transcribed Image Text:Find the length of the entire perimeter of the region inside r = 15 sin 0 but outside r = 4. Answer:
Expert Solution
Step 1

It is given that that it is inside r=15sinθ and outside r=4.

Recall the formula for length of perimeter is given by L=∫αβr2+drdθ2dθ.

Obtain point of intersection of r=15sinθ and r=4:

15sinθ=4sinθ=415θ=sin-1415

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