(Solved): (a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of t ...

(a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of the portion of the paraboloid \( z=9 x^{2}+9 y^{2} \) that lies above the square \( [0,1] \times[0,1] \). (Round your answer to four decimal places.) (b) Use a computer algebra system to approximate the surface area in part (a) to four decimal places. Compare with the answer to part (a).