In the following exercises, estimate the volume of the solid under the surface z= f(x. y) and above the rectangular
legion R by using a Riemann sum with m = n = 2 and the sample points to be the lower left corners of the subrectangles of the partition.
7. The depth of a children’s 4-ft by 4-ft swimming pool, measured at 1—ft intervals, is given in the following table.
a. Estimate the volume of water in the swimming pool by using a Riemann sum with m = n = 2. Select the sample points using the midpoint rule on
b. Find the average depth of the swimming pool.
y
x |
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