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Consider the function f(x, y) described by the contour diagram, where level curves f(x, y) = k are plotted for different values of k. Let R={(x,y) 0.4 ≤ ≤ 1,0 ≤ y ≤0.8) YA 1.2 1 0.8- 0.6- 0.4 = -k=-1 -K---K--- -*---- -k=0 -*--- -k-/-/- k=1

Consider the function f(x, y) described by the contour diagram, where level curves f(x, y) = k are plotted for different values of k. Let R={(x,y) 0.4 ≤ ≤ 1,0 ≤ y ≤0.8) YA 1.2 1 0.8- 0.6- 0.4 = -k=-1 -K---K--- -*---- -k=0 -*--- -k-/-/- k=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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part c please
1. Consider the function f(x, y) described by the contour diagram, where level curves f(x, y) = k are plotted for different values of k. Let R= {(r.y) 0.4 ≤ x ≤ 1,0 ≤ y ≤0.8} YA 1.2+ 1 0.8+ 0.6+ 0.4 0.2+ 0 -k=-1/2 -k=-=- -k=0 -k=1/12 -k=1/1/2 (a) Estimate -k=-1 8 -k---- -k=1 0.2 0.4 0.6 0.8 1 1.2* For all double Riemann sums below, you can use reasonable judgment of values for points between level curves. Be sure to use notation showing what the values in each double Riemann sum are intended to represent. f(x,y)dA, using a double Riemann sum with Ar = 0.2, Ay = 0.2 and JR upper right corners for sample points. (b) Give the upper Riemann sum for the partition with using a double Riemann sum with Δε = 0,2, Δy = 0).2. (c) Give the lower Riemann sum for the partition with using a double Riemann sum with Az = 0.2, Ay = 0.2.
Transcribed Image Text:1. Consider the function f(x, y) described by the contour diagram, where level curves f(x, y) = k are plotted for different values of k. Let R= {(r.y) 0.4 ≤ x ≤ 1,0 ≤ y ≤0.8} YA 1.2+ 1 0.8+ 0.6+ 0.4 0.2+ 0 -k=-1/2 -k=-=- -k=0 -k=1/12 -k=1/1/2 (a) Estimate -k=-1 8 -k---- -k=1 0.2 0.4 0.6 0.8 1 1.2* For all double Riemann sums below, you can use reasonable judgment of values for points between level curves. Be sure to use notation showing what the values in each double Riemann sum are intended to represent. f(x,y)dA, using a double Riemann sum with Ar = 0.2, Ay = 0.2 and JR upper right corners for sample points. (b) Give the upper Riemann sum for the partition with using a double Riemann sum with Δε = 0,2, Δy = 0).2. (c) Give the lower Riemann sum for the partition with using a double Riemann sum with Az = 0.2, Ay = 0.2.
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