14.1 a) Find double integral xy * sin(x^2 + y^2) dx from 0 to sqrt((5x)/3) dy from 0 to sqrt((11x)/6) b) Find double integral R (xy^ 2)/(x^2 +1 )dA,; R = [0, 2]* [- 4, 4] c) Find the volume of the solid bounded by the ellipic paraboloid z = 5 + 4x^2 + 3y^2 the planes x = 5 and y = 3, and the coordinate planes. c) Find the volume of the solid bounded by the ellipic paraboloid z = 1 + 4x^2 + 3y^2 the planes x = 4 and y = 2 and the coordinate planes.

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A: Solve the following