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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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