Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 [0, 2π). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.
Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 [0, 2π). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.
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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![II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the shaded
region as shown in the figure below.
1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0),
where r > 0, 0 € [0, 2π).
2. Set up an integral for the perimeter of R.
3. Set up an integral for the area of R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73ead144-1733-494c-87a1-d3e919d0c1e1%2F0ab58b5d-45ad-44fc-85a4-e29159a4a1aa%2Flz7dsr_processed.png&w=3840&q=75)
Transcribed Image Text:II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the shaded
region as shown in the figure below.
1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0),
where r > 0, 0 € [0, 2π).
2. Set up an integral for the perimeter of R.
3. Set up an integral for the area of R.
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