Calculate the Riemann sum for f(x, y) = 9x – 9y and domain D in Figure 2 with two choices of sample points, • and o. Which do you think is a better approximation to the integral of f over D? Why? y 4 3 2 1 1 2 FIGURE 2 S3,4(•) = S3,4(0) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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Please answer both questions. Thank you.

Calculate the average height above the x-axis of a point in the region 0 < x < a, 0 < y < x²
for a =
- 20.
Transcribed Image Text:Calculate the average height above the x-axis of a point in the region 0 < x < a, 0 < y < x² for a = - 20.
Calculate the Riemann sum for f(x, y) = 9x – 9y and domain D in Figure 2 with two choices of sample points, • and o.
Which do you think is a better approximation to the integral of f over D? Why?
y
3
0 1 2
3
FIGURE 2
S3,4(•) =
S3,4(0) =
4.
2.
1.
Transcribed Image Text:Calculate the Riemann sum for f(x, y) = 9x – 9y and domain D in Figure 2 with two choices of sample points, • and o. Which do you think is a better approximation to the integral of f over D? Why? y 3 0 1 2 3 FIGURE 2 S3,4(•) = S3,4(0) = 4. 2. 1.
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