10 00 10 20 30 2 10 20 30 A contour map for a function f on the square R = [0,4] × [0,4] is shown above. a) Use the Midpoint Rule with m = n = 2 to estimate the value of √r f(x, y)dA. b) Estimate the average value of f.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
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A contour map for a function f on the square R = [0,4] × [0,4] is shown above.
a) Use the Midpoint Rule with m = n = 2 to estimate the value of √r f(x, y)dA.
b) Estimate the average value of f.
Transcribed Image Text:10 00 10 20 30 2 10 20 30 A contour map for a function f on the square R = [0,4] × [0,4] is shown above. a) Use the Midpoint Rule with m = n = 2 to estimate the value of √r f(x, y)dA. b) Estimate the average value of f.
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