Estimate the average value of f

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A contour map is shown for a function f on the square R = [0, 6] cross product [0, 6]. Assume a = 3, b = 6, c = 3, d = 6, e = 10, f = 0, g = 0, h = 20, i = 30, j = 40, k = 20, l = 30, m = 40.

2261_A contour map.gif

(a) Use the Midpoint Rule with m = n = 2 to estimate the value of the following.

∫∫R f(x, y) dA

(b) Estimate the average value of f.

Reference no: EM131011204

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