xy coordinates to polar coordinates for double integral. hepl please!by Andrew123 Tags: coordinates, double, hepl, integral, polar 

#1
Jan3109, 02:08 AM

P: 25

1. The problem statement, all variables and given/known data
ok change the region R = { (x,y)  1 <= X^2 + y^2 <= 4 , 0 <= y <= x } to polar region and perform the double integral over region R of z=arctan(y/x)dA 2. Relevant equations r^2 = x^2 + y^2, x = r*sin(@), y = r * cos (@) 3. The attempt at a solution i got R = { (rcos(@), rsin(@)  1 <= r <= 2 , 0 <= @ <= pi/4 } and 3/8 * pi ^2 answer in back of book is 3/64 * pi ^2 thankyou for your time! 



#2
Jan3109, 02:26 AM

HW Helper
P: 5,004





#3
Jan3109, 02:52 AM

P: 25

thankyou veeery much!




#4
Jan3109, 10:37 AM

Mentor
P: 20,943

xy coordinates to polar coordinates for double integral. hepl please!x = r*cos(theta) y = r*sin(theta) 


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