II. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A and B be points of intersection as shown in the figure below. 1. Find the polar coordinates of A and B. # 2. Given that C₂ passes the pole at 8 = - and 0, set up the (sum of) integrals that give the shaded region's a. perimeter b. area (Hint: C₂ is ymmetric with respect to the polar aris.)
II. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A and B be points of intersection as shown in the figure below. 1. Find the polar coordinates of A and B. # 2. Given that C₂ passes the pole at 8 = - and 0, set up the (sum of) integrals that give the shaded region's a. perimeter b. area (Hint: C₂ is ymmetric with respect to the polar aris.)
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:II. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and
points A and B be points of intersection as shown in the figure below.
1. Find the polar coordinates of A and B.
플
2. Given that C₂ passes the pole at 0 = -
=
and 0, set up the (sum of) integrals
that give the shaded region's
a. perimeter
b. area
(Hint: C₂ is ymmetric with respect to the
polar aris.)
H
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