(Solved): (a)Estimate the volume of the solid that lies below the surfacez = 5 + x2 + 3yand above the rectangl ...

(a)

Estimate the volume of the solid that lies below the surface

z = 5 + x² + 3y

and above the rectangle R = [1, 2] ? [0, 3]. Use a Riemann sum with m = n = 2 and choose the sample points to be lower left corners. (Round your answer to three decimal places.)

(b)

Use the Midpoint Rule to estimate the volume in part (a). (Round your answer to three decimal places.)