Use a Riemann sum with m = n = 2 to estimate the value of 5xe-XY dA, where R = [0, 2] x (0, 1). Take the sample points to be upper right corners.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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(a) Use a Riemann sum with m = n = 2 to estimate the value of
5xe-XY dA, where R = [0, 2] x [0, 1]. Take the sample points to be upper right corners.
Find the area of each subrectangle.
Find the sample points where x, < x2 and y, < Y2.
(Xy, Yq) = (
(X1, Y2)
(X2, Y1) =
(X2, Y2)
Evaluate the Reimann sum. (Round your answer to three decimal places.)
(b) Use the midpoint rule to estimate the integral in part (a).
Find the sample points where x, < x2 and y, < Y2.
(X1, Y1) =
(X1, Y2) = (
(x2, Y1)
(x2, Y2) =
Evaluate the Reimann sum. (Round your answer to three decimal places.)
Transcribed Image Text:(a) Use a Riemann sum with m = n = 2 to estimate the value of 5xe-XY dA, where R = [0, 2] x [0, 1]. Take the sample points to be upper right corners. Find the area of each subrectangle. Find the sample points where x, < x2 and y, < Y2. (Xy, Yq) = ( (X1, Y2) (X2, Y1) = (X2, Y2) Evaluate the Reimann sum. (Round your answer to three decimal places.) (b) Use the midpoint rule to estimate the integral in part (a). Find the sample points where x, < x2 and y, < Y2. (X1, Y1) = (X1, Y2) = ( (x2, Y1) (x2, Y2) = Evaluate the Reimann sum. (Round your answer to three decimal places.)
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