A contour map is shown for a function f on the square R = [0, 2] x [0, 2]. y 1 10 1 18 20 3Q 10 20 30 2 X (a) Use the Midpoint Rule with m = n = 2 to estimate the value of [₂₁ f(x, y) dA. (Round your answer to the nearest integer.) (b) Estimate the average value of f. (Round your answer to one decimal place.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 36E
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A contour map is shown for a function f on the square R
=
y
2
1
10
1
10
20
3Q
[0, 2] x [0, 2].
10 20 30
2
X
(a) Use the Midpoint Rule with m = n = 2 to estimate the value of
JS
f(x, y) dA. (Round your answer to the nearest integer.)
R
(b) Estimate the average value of f. (Round your answer to one decimal place.)
Transcribed Image Text:A contour map is shown for a function f on the square R = y 2 1 10 1 10 20 3Q [0, 2] x [0, 2]. 10 20 30 2 X (a) Use the Midpoint Rule with m = n = 2 to estimate the value of JS f(x, y) dA. (Round your answer to the nearest integer.) R (b) Estimate the average value of f. (Round your answer to one decimal place.)
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