Answer to Question #139338 in Calculus for Promise Omiponle

Question

I don't know if you're able to see this image at https://webwork.rit.edu/webwork2_files/tmp/MATH-219-02_03_10//gif/4d7caeca-b3b1-3f36-8691-009b499f8636___31f9a87a-cfd8-36da-a364-9b288b49d15b.png. Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates,
∬Rf(x,y)dA=∫(A to B)∫(C to D)f(rcos(θ),rsin(θ))rdrdθ
with limits of integration

A =

B =

C =

D =

Answer 1

$A=\frac{\pi}{4}$

$B=\frac{3\pi}{4}$

$C=0$

$D=3 \sqrt {2}$