Note that the ray 6: divides the intersection of these circles into two sections. As in the figure, let A, be 4 the area of this intersection where 4 and let A, be the area of the intersection where OS0s4. If we let A denote the area of the entire intersection, then we have A = A1 + A2. We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a continuous function, then the area bounded by a curve in polar form r = f(0) and the rays e = a and 0 = B %3D !! (with a < B) is equal to f(0)2 de. dentify the proper f(0) that we should integrate to find A and A,. Then calculating A, we should integrate f(@) = en calculating Aa. we should integrate flA).

Note that the ray 6: divides the intersection of these circles into two sections. As in the figure, let A, be 4 the area of this intersection where 4 and let A, be the area of the intersection where OS0s4. If we let A denote the area of the entire intersection, then we have A = A1 + A2. We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a continuous function, then the area bounded by a curve in polar form r = f(0) and the rays e = a and 0 = B %3D !! (with a < B) is equal to f(0)2 de. dentify the proper f(0) that we should integrate to find A and A,. Then calculating A, we should integrate f(@) = en calculating Aa. we should integrate flA).

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

inbox (29)- kiver T...
S CengageBrain
Step 1 of 5
In order to find the area of intersection, we must find the value of 0 at the point of intersection other than the
origin. Note that these two circles intersect in the first quadrant. Therefore this value of 0 should be between
O and
Find the value of e at the point of intersection by setting the curves equal and solving for 0.
8 sin 0 = 8 cos e
tan 6 = |1
8 = tan-(1)

:: AplicaCiones
CP Links
O Brightspace cpcc
W Mat 272-280, Calcu.
O PHY 251
M Recibidos (1,308) -.
M Inbox (2g) - kriver1..
9CengageBrain
4
Note that the ray 0 = " divides the intersection of these circles into two sections. As in the figure, let A, be
%3D
4
the area of this intersection where 4 < 0S4, and let A2 be the area of the intersection where
4
OS0s4. If we let A denote the area of the entire intersection, then we have A = A + A7.
We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a
continuous function, then the area bounded by a curve in polar form r= f(0) and the rays 6 = a and 0 = B
(with a < B) is equal to
f(8)² de.
Identify the proper f(0) that we should integrate to find A and A,.
When calculating A, we should integrate f(0) =
When calculating A2, we should integrate f(e) =

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