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

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

(a) Estimate ∫∫R(x, y) dA using the Midpoint Rule with m = n = 2.

(b) Estimate the double integral with by choosing m = n = 4 the sample points to be the points farthest from the origin.

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

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

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