A contour map is shown for a function f on the square R = [0,6] x [0,6]. Assume a = 3, b = 6, c = 3, d = 6, e = 10, f = 0, g = 0, h = 40, i = 50, j = 60, k = 40, / = 50, m = 60. (a) Use the Midpoint Rule with m = n = 2 to estimate the value of the following. [ f(x,y) da The value of integral is (b) Estimate the average value of f. (Round your answer to the nearest tenth.) fave =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A contour map is shown for a function f on the square R = [0,6] x [0,6]. Assume a = 3, b = 6, c = 3, d = 6, e = 10, f = 0, g = 0, h = 40, i = 50, j = 60, k = 40, / = 50, m = 60.
b
a
C
The value of integral is
m
d x
(a) Use the Midpoint Rule with m = n = 2 to estimate the value of the following.
[[ f(x,y) da
(b) Estimate the average value of f. (Round your answer to the nearest tenth.)
fave =
Transcribed Image Text:A contour map is shown for a function f on the square R = [0,6] x [0,6]. Assume a = 3, b = 6, c = 3, d = 6, e = 10, f = 0, g = 0, h = 40, i = 50, j = 60, k = 40, / = 50, m = 60. b a C The value of integral is m d x (a) Use the Midpoint Rule with m = n = 2 to estimate the value of the following. [[ f(x,y) da (b) Estimate the average value of f. (Round your answer to the nearest tenth.) fave =
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