Values of f(x, y) are shown in the table below. x = 2x = 2.1 x = 2.2 y = 3 9 10 13 y = 3.3 8 9 10 y = 3.6 7 8 19 Let R be the rectangle 2 < x < 2.2, 3 < y < 3.6. Find the values of Riemann sums which are reasonable over- and under-estimates for IR f(x, y) dA with Ax 0.1 and Ay = 0.3. over-estimate: under-estimate:

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.
= 2x = 2.1 x = 2.2
%3D
y = 3 9
y = 3.3
y = 3.6
10
13
8
9
10
7
8
19
Let R be the rectangle 2 < x < 2.2, 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:
under-estimate:
Transcribed Image Text:Values of f(x, y) are shown in the table below. = 2x = 2.1 x = 2.2 %3D y = 3 9 y = 3.3 y = 3.6 10 13 8 9 10 7 8 19 Let R be the rectangle 2 < x < 2.2, 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: under-estimate:
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