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Unformatted text preview: f ( x,y ) = 4 xy-2 x 2-y 4 . Q4 (10 points) Evaluate the following limit or explain why it does not exist: lim ( x,y ) (1 , 0) ( x-1) y 2( x-1) 2 + y 4 Q5 (15 points) Write and evaluate the volume of the solid lying between the paraboloids z = x 2 + y 2 and 3 z = 4-x 2-y 2 in cylindrical coordinates. Q6 (25 points) Evaluate the following double integrals (a) Z / 2 Z 5 y sin x x dxdy (b) Z Z D e-( x 2 + y 2 ) dxdy given that D is the quarter disc bounded by x = 0, y = 0 and x 2 + y 2 = ln5....
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- Spring '10