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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
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.
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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