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Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 20)2.

Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 20)2.

Advanced Engineering Mathematics
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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Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r= 2(2 - sin 20). 2) Find the area of the region that lies inside the cardioid r= 1 + cos 0 and outside the circle r = 1. 3) Find the area enclosed by one leaf of the rose r= 12 cos 30. 4) Find the area of the region common to the interiors of the cardioids r = 1 + cos 0 andr= 1 - cos 0. 5) Find the area enclosed by the circle r= 3 cos 0 and the cardioid r = 1 + cos 0.
Transcribed Image Text:Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r= 2(2 - sin 20). 2) Find the area of the region that lies inside the cardioid r= 1 + cos 0 and outside the circle r = 1. 3) Find the area enclosed by one leaf of the rose r= 12 cos 30. 4) Find the area of the region common to the interiors of the cardioids r = 1 + cos 0 andr= 1 - cos 0. 5) Find the area enclosed by the circle r= 3 cos 0 and the cardioid r = 1 + cos 0.
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