Consider the polar curves C₁ and C2, where: C₁ is the upper half of the circle r = cos 0. C2 is the petal of the rose r = cos(40) above the polar axis that is symmetric about the ㅠ 2-axis. In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates P(V5-1 25). 4 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. C2 70 2 P C₁
Consider the polar curves C₁ and C2, where: C₁ is the upper half of the circle r = cos 0. C2 is the petal of the rose r = cos(40) above the polar axis that is symmetric about the ㅠ 2-axis. In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates P(V5-1 25). 4 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. C2 70 2 P C₁
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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Transcribed Image Text:Consider the polar curves C₁ and C2, where:
C₁ is the upper half of the circle r = Cos 0.
C2 is the petal of the rose r = = cos(40) above
the polar axis that is symmetric about the
-axis.
ㅠ
2
In the first quadrant, C₁ and C₂ inter-
sect at the point with polar coordinates
√5 1 2π
P
4
5
1. Verify algebraically that the pole is also a point
of intersection of C₁ and C₂.
2. Set up the (sum/difference of) integral(s) equal
to the area of the shaded region.
S
C₂
2
P
C₁
0
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