Question

A table of values is given for a function f(x, y) defined on R = [1,...

A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4].

0 1 2 3 4
1.0 2 0 -3 -6 -5
1.5 3 1 -4 -5 -6
2.0 4 3 0 -5 -8
2.5 5 4 3 -1 -4
3.0 7 8 6 3 0

Estimate f(x, y) dA R using the Midpoint Rule with m = n = 2 and estimate the double integral with m = n = 4 by choosing the sample points to be the points farthest from the origin.

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