Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded region in the figure shown: 1.) Find all point/s of intersection of C₁and C₂. Express answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2.) Set up an integral (do not evaluate) for the perimeter of R. 3.) Set up an integral (do not evaluate) for the area of R.
Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded region in the figure shown: 1.) Find all point/s of intersection of C₁and C₂. Express answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2.) Set up an integral (do not evaluate) for the perimeter of R. 3.) Set up an integral (do not evaluate) 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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Transcribed Image Text:Consider the polar curves C₁: r = 3 (blue) and C₂:r = 2 - 2sine (red) and
let R be the shaded region in the figure shown:
1.) Find all point/s of intersection of C₁and C₂. Express answer as polar
coordinates (r, 0), where r > 0, 0 € [0, 2π).
2.) Set up an integral (do not evaluate) for the perimeter of R.
3.) Set up an integral (do not evaluate) for the area of R.
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