Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Values of f(x, y) are shown in the table below.
under-estimate:
X =
A
1x =
9
8
7
1.1 x =
1.2
y = 3
8
y = 3.3
7
y =
3.6
6
Let R be the rectangle 1 ≤ x ≤ 1.2, 3 ≤ y ≤ 3.6. Find the values of Riemann sums which are reasonable over- and under-estimates
for SR f(x, y) dA with Ax = 0.1 and Ay = 0.3.
over-estimate:
11
9
15
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Transcribed Image Text:Values of f(x, y) are shown in the table below. under-estimate: X = A 1x = 9 8 7 1.1 x = 1.2 y = 3 8 y = 3.3 7 y = 3.6 6 Let R be the rectangle 1 ≤ x ≤ 1.2, 3 ≤ y ≤ 3.6. Find the values of Riemann sums which are reasonable over- and under-estimates for SR f(x, y) dA with Ax = 0.1 and Ay = 0.3. over-estimate: 11 9 15
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