A table of values is given for a function f(x, y) defined on R = [1, 3] x [0, 4]. 01 1 2 3 4 1.0 2 0-3 -6 -5 1.5 3 1 -4 -9 -6 2.0 4 0 2.5 5 3 3.0 7 8 6 3 0 (a) Estimate -2 3 6 SS¹ x -5-8 -1-4 f(x, y) dA using the Midpoint Rule with m = n = 2. (b) Estimate the double integral with m = n = 4 by choosing the sample points to be the points farthest from the origin. -3 x

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