The table gives values of on the rectangle R with (a) Find an overestimate and an underestimate for the integral [ f(x₂) R f(x, y)dA z = f(x, y) 0≤x≤2 0 ≤ y ≤ 8. x 0 1 2 0 94 79 66 y 4 8 81 70 60 61 58 54 as accurately as possible. Use the average of the overestimate and the underestimate. Enter all decimal places of your 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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Question
[ f(x, y)dA=
R
1246
(b) Use your answer to part (a) to estimate the average value of f(x, y) on R.
Enter all decimal places of your estimate.
Average value
=
Transcribed Image Text:[ f(x, y)dA= R 1246 (b) Use your answer to part (a) to estimate the average value of f(x, y) on R. Enter all decimal places of your estimate. Average value =
The table gives values of
on the rectangle R with
(a) Find an overestimate and an underestimate for the integral
fr(x)
R
f(x, y)dA
z = f(x, y)
0≤x≤2
0 ≤ y ≤ 8.
y 4
8
0
X
1 2
94 79 66
81 70 60
61 58 54
as accurately as possible.
Use the average of the overestimate and the underestimate. Enter all decimal places of your estimate.
Transcribed Image Text:The table gives values of on the rectangle R with (a) Find an overestimate and an underestimate for the integral fr(x) R f(x, y)dA z = f(x, y) 0≤x≤2 0 ≤ y ≤ 8. y 4 8 0 X 1 2 94 79 66 81 70 60 61 58 54 as accurately as possible. Use the average of the overestimate and the underestimate. Enter all decimal places of your estimate.
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