The figure shows level curves of a function f in the square R= [0,8] × [0,8]. Use the Midpoint Rule with m = n = 2 to estimate the following. [[ f(x,y) da Assume a = 4, b = 8, c = 4, d = 8, e = 4, f = 5, g = 6, h = 7, i = 8, j = 9, k = 10. How could you improve your estimate?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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We must estimate the value of f(x, y) at each of the sample points. Based on the contours, when i = 1 and
j = 1, a good choice for an estimate of f (2, 2) is 4
Transcribed Image Text:We must estimate the value of f(x, y) at each of the sample points. Based on the contours, when i = 1 and j = 1, a good choice for an estimate of f (2, 2) is 4
The figure shows level curves of a function f in the square R = [0,8] × [0,8]. Use the Midpoint Rule with m = n
= 2 to estimate the following.
[[ f(x,y) da
dA
Assume a = 4, b = 8, c = 4, d = 8, e = 4, f = 5, g = 6, h = 7, i = 8, j = 9, k = 10.
How could you improve your estimate?
Transcribed Image Text:The figure shows level curves of a function f in the square R = [0,8] × [0,8]. Use the Midpoint Rule with m = n = 2 to estimate the following. [[ f(x,y) da dA Assume a = 4, b = 8, c = 4, d = 8, e = 4, f = 5, g = 6, h = 7, i = 8, j = 9, k = 10. How could you improve your estimate?
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