?In the following exercises, estimate the volume of the solid under the surface \(z\) =

Chapter 5, Problem 8

(choose chapter or problem)

In the following exercises, estimate the volume of the solid under the surface \(z\) = f(x, y) and above the rectangular region \(R\) 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.

The depth of a The depth of a 3-ft by 3-ft hole in the ground, measured at 1-ft intervals, is given in the following table.

Estimate the volume of the hole by using a Riemann sum with\(m\) = \(n\) = \(3\) and the sample points to be the upper left corners of the subsquares of \(R\).

Find the average depth of the hole.

Text Transcription:

Z = f(x, y)

R

m = n = 2

3ft

1ft

m = n = 3

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