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.
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.
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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Question
![Part (1) Single Integration in Polar coordinates:
1) Find the area
2 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).
2) Find the area
a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.
b) Inside the lemniscate r = 6 cos 20 and inside the circle r = 3.
c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20
%3D
and outside the circle r = -
V3.
3) Find the length of the curve r = cos (0/3), 0 < 0<"4:
4) The curve r = V1 + sin20,
0 < 0 <TV2.
5) Find the area enclosed by one petal of r= cos (4 0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F345cd84b-39ff-4ba7-ad6c-82b08c55bc59%2F5eb670a2-779f-4afd-8f11-33e51d15095e%2F9m8fdt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part (1) Single Integration in Polar coordinates:
1) Find the area
2 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).
2) Find the area
a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.
b) Inside the lemniscate r = 6 cos 20 and inside the circle r = 3.
c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20
%3D
and outside the circle r = -
V3.
3) Find the length of the curve r = cos (0/3), 0 < 0<"4:
4) The curve r = V1 + sin20,
0 < 0 <TV2.
5) Find the area enclosed by one petal of r= cos (4 0)
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