Given the polar curves: C₁:r = 2 cos 0 π 2 C2 B(0,0) C₁ A(2,0) C₂:r = 2 cos 30 Find the (sum of) definite integral(s) equal to the area of the shaded region R 0 Find the (sum of) definite integral(s) equal to the perimeter of the shaded region R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve for the following (polar curves and regions)

Given the polar curves:
C₁:r = 2 cos 0
π
2
C2
B(0,0)
C₁
A(2,0)
C₂:r = 2 cos 30
Find the (sum of) definite integral(s)
equal to the area of the shaded region
R
0
Find the (sum of) definite integral(s)
equal to the perimeter of the shaded
region R
Transcribed Image Text:Given the polar curves: C₁:r = 2 cos 0 π 2 C2 B(0,0) C₁ A(2,0) C₂:r = 2 cos 30 Find the (sum of) definite integral(s) equal to the area of the shaded region R 0 Find the (sum of) definite integral(s) equal to the perimeter of the shaded region R
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