(a) Use a Riemann sum with m = n = 2 to estimate the value of | 9xe-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 y1 < Y2. (X1, 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, < x, and y, < Y2. (X1, Y1) = (X1, Y2) (X2, Y1) = (X2. Y2) = Evaluate the Reimann sum. (Round your answer to three decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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(a) Use a Riemann sum with m = n = 2 to estimate the value of
9xe-XY dA, where R = [0, 2] × [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 y1 <Y2•
(X1, Y1) =
(X1, Y2) =
%3D
(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 y1 <2•
(X1, Y1) =
(X1, Y2)
=
(X2, Y q) =
(X2, Y2)
%3D
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 9xe-XY dA, where R = [0, 2] × [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 y1 <Y2• (X1, Y1) = (X1, Y2) = %3D (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 y1 <2• (X1, Y1) = (X1, Y2) = (X2, Y q) = (X2, Y2) %3D Evaluate the Reimann sum. (Round your answer to three decimal places.)
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