Question: Evaluate the following integral by changing the variables.(a)(10 points) Use the transformation x=u+v2,y=vto evaluate 02y2y2+2y3(2x-y)e(2x-y)2dxdy(b)(8 points)D3dA where Dis the region bounded byx2+y2=12 and y=0.(c)(15 points)
Evaluate the following integral by changing the variables.(a)(10 points) Use the transformation x=u+v2,y=vto evaluate 02y2y2+2y3(2x-y)e(2x-y)2dxdy(b)(8 points)D3dA where Dis the region bounded byx2+y2=12 and y=0.(c)(15 points) Use the transformation x=4vcos(u),y=5vsin(u)to evaluate the area ofR bounded byx242+y252=1
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