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Consider the function z= = f(x, y) = sin(x - y). (a) Plot the cross-section where the graph of z = sin(x - y) intersects the zz-plane. (b) Plot the cross-section where the graph of z = sin(x - y) intersects the yz-plane. c) When x = 0 and y = 0, we can calculate that z = sin(0 - 0) = 0. Find the line through the origin in the xy-plane on which z is constant 0.

Consider the function z= = f(x, y) = sin(x - y). (a) Plot the cross-section where the graph of z = sin(x - y) intersects the zz-plane. (b) Plot the cross-section where the graph of z = sin(x - y) intersects the yz-plane. c) When x = 0 and y = 0, we can calculate that z = sin(0 - 0) = 0. Find the line through the origin in the xy-plane on which z is constant 0.

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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6. Consider the function z = f(x, y) = sin(x - y). (a) Plot the cross-section where the graph of z = sin(x - y) intersects the zz-plane. (b) Plot the cross-section where the graph of z = sin(x - y) intersects the yz-plane. (c) When x = 0 and y = 0, we can calculate that z = sin(0 - 0) = 0. Find the line through the origin in the xy-plane on which z is constant 0. (d) Which of these could be a graph of the function f (x, y) = sin(x - y)? 1.0 0.5 0.0 -0.5 -1.0 1.0 0.5 0.0 -0.5 -1.0 -5 S 0 0 5 5 -0.5 -1.0 0.9, 71.0 0.5 70 y 1.0 0.5 0.0 -0.5 -1.0 -1.0 -5 -0.5 0 X 0.0 0.5 5 1.0 -5 Y У
Transcribed Image Text:6. Consider the function z = f(x, y) = sin(x - y). (a) Plot the cross-section where the graph of z = sin(x - y) intersects the zz-plane. (b) Plot the cross-section where the graph of z = sin(x - y) intersects the yz-plane. (c) When x = 0 and y = 0, we can calculate that z = sin(0 - 0) = 0. Find the line through the origin in the xy-plane on which z is constant 0. (d) Which of these could be a graph of the function f (x, y) = sin(x - y)? 1.0 0.5 0.0 -0.5 -1.0 1.0 0.5 0.0 -0.5 -1.0 -5 S 0 0 5 5 -0.5 -1.0 0.9, 71.0 0.5 70 y 1.0 0.5 0.0 -0.5 -1.0 -1.0 -5 -0.5 0 X 0.0 0.5 5 1.0 -5 Y У
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