(6) Consider polar functions r = 1 + cos(0) and r = 1- cos(0), 0≤ 0 ≤ 2. Find the area of the shaded region. 180 LOE 110 150 210 120 240 90 2 270 60 HW #5 300 30 330 (7) Find the area which is inside of r = 2 cos 0 and outside r = 1. I (8) Find the area of the common interior of r = 2 cos 0 and r = 2 sin 0. 360 Page 3 of 5 DUE ON 9/22/2022

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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Questions 6 and 8 only
(6) Consider polar functions r = 1 + cos(0) and r = 1- cos(0), 0≤ 0 ≤ 2. Find the area of
the shaded region.
180
LU 110
150
210
120
240
90
2
270
60
HW #5
300
30
330
(7) Find the area which is inside of r = 2 cos 0 and outside r = 1. I
(8) Find the area of the common interior of r = 2 cos 0 and r = 2 sin 0.
360
Page 3 of 5
DUE ON 9/22/2022
Transcribed Image Text:(6) Consider polar functions r = 1 + cos(0) and r = 1- cos(0), 0≤ 0 ≤ 2. Find the area of the shaded region. 180 LU 110 150 210 120 240 90 2 270 60 HW #5 300 30 330 (7) Find the area which is inside of r = 2 cos 0 and outside r = 1. I (8) Find the area of the common interior of r = 2 cos 0 and r = 2 sin 0. 360 Page 3 of 5 DUE ON 9/22/2022
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