Use a Riemann sum with m = n = 2 to estimate the value of // V1+ x + y³ dA R over R = [1,2] ×x [0, 3] = {(x, y) e R? : 1 < x < 2 and 0 < y < 3}. Choose the sample points (x; , y;) to be the lower left corners of the four subrectangles. Show your work and round to three decimal places. Often a more accurate result can be obtained by choosing the sample points (x;, y;) to be the midpoints of the subrectangles. Do the problem over with this choice of sample points.
Use a Riemann sum with m = n = 2 to estimate the value of // V1+ x + y³ dA R over R = [1,2] ×x [0, 3] = {(x, y) e R? : 1 < x < 2 and 0 < y < 3}. Choose the sample points (x; , y;) to be the lower left corners of the four subrectangles. Show your work and round to three decimal places. Often a more accurate result can be obtained by choosing the sample points (x;, y;) to be the midpoints of the subrectangles. Do the problem over with this choice of sample points.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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