Find the area V2 centered a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v at the origin. b) Inside the circle of radius r = v2 centered at the origin and outside the cardioid r = 2 cos (0/3).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Part (1) Single Integration in Polar coordinates:
1) Find the area
a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v2 centered
at the origin.
b) Inside the circle of radius r = v2 centered at the origin and outside the cardioid r 2
cos (0/3).
2) Find the area
%3D
a) Inside the lemniscate r? = 6 cos 20 and outside the circle r =
V3.
%3D
b) Inside the lemniscate r2 = 6 cos 20 and inside the circler=
= V3.
c) Find the curve length of the lemniscate of the area Inside the lemniscate r = 6 cos 20
and outside the circle r =
Transcribed Image Text:Part (1) Single Integration in Polar coordinates: 1) Find the area a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v2 centered at the origin. b) Inside the circle of radius r = v2 centered at the origin and outside the cardioid r 2 cos (0/3). 2) Find the area %3D a) Inside the lemniscate r? = 6 cos 20 and outside the circle r = V3. %3D b) Inside the lemniscate r2 = 6 cos 20 and inside the circler= = V3. c) Find the curve length of the lemniscate of the area Inside the lemniscate r = 6 cos 20 and outside the circle r =
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