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r = sin and r = √√3 cose. In other words, find the area of the intersection of these two polar graphs.

r = sin and r = √√3 cose. In other words, find the area of the intersection of these two polar graphs.

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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=√√3 cos 0. r = sin and r=- In other words, find the area of the intersection of these two polar graphs.
Transcribed Image Text:=√√3 cos 0. r = sin and r=- In other words, find the area of the intersection of these two polar graphs.
Use a double integral in polar coordinates to find the exact value of the area that is inside both of the graphs of
Transcribed Image Text:Use a double integral in polar coordinates to find the exact value of the area that is inside both of the graphs of
Expert Solution
Step 1: Finding the point of intersection the two polar graph

Given 

r=3cosθr=sinθ

The point of intersection is

∴sinθ=3cosθ⇒tanθ=3⇒       θ=π3

 

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