(b) 12. Let R be the shaded region that lies inside the circle (2-2)² + y² = 4 and above the line y = r. (The region R is sketched in the figure to the right.) (a) B T 3₂ Set up a definite integral that computes the area of R using integration with respect to x. DO NOT EVALUATE THIS INTEGRAL. Find a polar equation of the form r = f() for the circle (-2)² + y² = 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Q12 Kindly solve in 20 minutes
(b)
12. Let R be the shaded region that lies inside
the circle (2-2)² + y² = 4 and above the line
y = r. (The region R is sketched in the figure
to the right.)
(a)
B
T
3
Set up a definite integral that computes the area of R using integration with
respect to x. DO NOT EVALUATE THIS INTEGRAL.
THIS INTEGRAL.
Find a polar equation of the form r = f(e) for the circle (2-2)² + y² = 4.
Set up a polar integral that computes the area of R. DO NOT EVALUATE
Transcribed Image Text:(b) 12. Let R be the shaded region that lies inside the circle (2-2)² + y² = 4 and above the line y = r. (The region R is sketched in the figure to the right.) (a) B T 3 Set up a definite integral that computes the area of R using integration with respect to x. DO NOT EVALUATE THIS INTEGRAL. THIS INTEGRAL. Find a polar equation of the form r = f(e) for the circle (2-2)² + y² = 4. Set up a polar integral that computes the area of R. DO NOT EVALUATE
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