Values of f(x, y) are shown in the table below. x = 3 x = 3.1 x = 3.2 y = 5 7 9. 12 y = 5.2 11 15 y = 5.4 11 13 6 Let R be the rectangle 3 < x < 3.2, 5 < y < 5.4. Find the values of Riemann sums which are reasonable over- and under-estimates for , f(x, y) dA with Ax = 0.1 and Ay = 0.2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Values of f(x, y) are shown in the table below.
x = 3 x = 3.1 x = 3.2
y = 5
7
9.
12
y = 5.2
y = 5.4 11
9.
11
15
13
Let R be the rectangle 3 < x < 3.2, 5 < y < 5.4. Find the values of Riemann sums which are reasonable over- and under-estimates for p f(x, y) dA
with Ax =
0.1 and Ay = 0.2.
over-estimate:
under-estimate:
Transcribed Image Text:Values of f(x, y) are shown in the table below. x = 3 x = 3.1 x = 3.2 y = 5 7 9. 12 y = 5.2 y = 5.4 11 9. 11 15 13 Let R be the rectangle 3 < x < 3.2, 5 < y < 5.4. Find the values of Riemann sums which are reasonable over- and under-estimates for p f(x, y) dA with Ax = 0.1 and Ay = 0.2. over-estimate: under-estimate:
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