Values of f(x, y) are shown in the table below. x= 3x3.1 7 9 5 7 y = 4.6 3 5 Let R be the rectangle 3 ≤ x ≤ 3.2, 4≤ y ≤ 4.6. Find the values of Riemann sums which are reasonable over- and under-estimates for SR f(x, y) dA with A 0.1 and Ay= 0.3. over-estimate: under-estimate: 3.2 y = 4 y = 4.3 12 9 18

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=3x = 3.1x = 3.2
y = 4
7
9
12
y = 4.3
5
7
9
y = 4.6
3
5
18
Let R be the rectangle 3 ≤ x ≤ 3.2,4 ≤ y ≤ 4.6. 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. x=3x = 3.1x = 3.2 y = 4 7 9 12 y = 4.3 5 7 9 y = 4.6 3 5 18 Let R be the rectangle 3 ≤ x ≤ 3.2,4 ≤ y ≤ 4.6. 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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