Use cylindrical coordinates to evaluate EzdV where E lies above the paraboloid z=x2y2 and below the plane z=4.Use spherical coordinates to evaluate Hz2x2y2z22dV where H is the solid hemisphere that lies above the xy-plane and has centre the origin and radius 2.Evaluate the integral by using an appropriate change of variables (be sure to clearly show your work for the change of variables): R(2x4y)dA where R is the parallelogram with vertices (-1,3),(1,-3),(3,-1),(1,5). Include the Jacobean, a sketch of the (old) region in the xy-plane and a sketch of the (new) region in the uv-plane. Use a ruler or computer for graphs, and be sure to label (x and y, or u and v) and scale (numbers) the axes.ANSWER ALL PLEASE AND READ CAREFULLY STEP BY STEP SOLUTION. Thank you