A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4]. 1 2 3 4 1.0 2 -3 -6-5 1.5 3 1 -4-9-6 2.0 4 3 -5-8 2.5 5 5 3 -1 -4 3.0 7 8 6 3 (a) Estimate f(x, y) dA using the Midpoint Rule with m = n = 2. (b) Estimate the double integral with m = n = 4 by choosing the sample points to be the points farthest from the origin.
A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4]. 1 2 3 4 1.0 2 -3 -6-5 1.5 3 1 -4-9-6 2.0 4 3 -5-8 2.5 5 5 3 -1 -4 3.0 7 8 6 3 (a) Estimate f(x, y) dA using the Midpoint Rule with m = n = 2. (b) Estimate the double integral with m = n = 4 by choosing the sample points to be the points farthest from the origin.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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