Consider the solid that lies above the square R = [0.2] Times [0.2] and below the elliptic paraboloid Z = 100 - x2 - 42. Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners. Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners..What is the average of the two answers from (A) and (B)? A contour map for a function f on the square R = [0, 4] Time [0, 4] is shown above. Use the Midpoint Rule with m = n = 2 to estimate the value of Estimate the average value of f Calculate the volume under the elliptic paraboloid z = 3x2 + y2 and over the rectangle R = [-2, 2] Times [-4, 4].
