A table of values is given for a function f(x, y) defined on R = [1, 3] x [0, 4]. 01 1 2 3 4 1.0 2 0-3 -6 -5 1.5 3 1 -4 -9 -6 2.0 4 0 2.5 5 3 3.0 7 8 6 3 0 (a) Estimate -2 3 6 SS¹ x -5-8 -1-4 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. -3 x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4].
x
-2
0
1
1.0
2
0
1.5
3
1
2.0 4 3
(a) Estimate
e
L
2.5 5
3.0
"
IN
7
SS
X
2 3 4
-3 -6 -5
-4 -9 -6
0
6 3
8 6 3 0
-5-8
-1-4
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.
-3
X
Transcribed Image Text:A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4]. x -2 0 1 1.0 2 0 1.5 3 1 2.0 4 3 (a) Estimate e L 2.5 5 3.0 " IN 7 SS X 2 3 4 -3 -6 -5 -4 -9 -6 0 6 3 8 6 3 0 -5-8 -1-4 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. -3 X
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