Calculate the Riemann sum for f(x, y) = 8x - 2y 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? 3 2 1 O O O o 0 1 0 S3,4() = S3,4(0) = 0 0 o 0 o 3 FIGURE 2 www. ·X

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Chapter2: Second-order Linear Odes
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Calculate the Riemann sum for f(x, y) = 8x - 2y 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?
++
2
1
O
o
0
S3,4() =
S3,4(0) =
O
O
o
O
O
*********
0 1 2 3
FIGURE 2
·x
Transcribed Image Text:Calculate the Riemann sum for f(x, y) = 8x - 2y 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? ++ 2 1 O o 0 S3,4() = S3,4(0) = O O o O O ********* 0 1 2 3 FIGURE 2 ·x
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