The figure shows a contour graph of f as a function of x and y. contours f(x, y) 10 5 1.0 0,5 -3 0-2 05 -5 -10 (a) Consider any point (x, y) on the graph. What happens to the function output when x remains constant and y increases? The output of f-Select- v as y increases along any line perpendicular to the x-axis. (b) Consider the point (-1, 5). When x is decreased by 1/2, by what amount must y change for the point to remain on the same contour curve? In order for f(-1.5, y) to remain on the same contour curve as f(-1, 5), y must Selectv by (c) Consider the point (-2, -2). When y is increased by 1.5, by what amount must x change in order for the output to remain constant? In order for the output of f(x, -0.5) to remain constant with f(-2, -2), x must-Select-L by Need Help? Read It
The figure shows a contour graph of f as a function of x and y. contours f(x, y) 10 5 1.0 0,5 -3 0-2 05 -5 -10 (a) Consider any point (x, y) on the graph. What happens to the function output when x remains constant and y increases? The output of f-Select- v as y increases along any line perpendicular to the x-axis. (b) Consider the point (-1, 5). When x is decreased by 1/2, by what amount must y change for the point to remain on the same contour curve? In order for f(-1.5, y) to remain on the same contour curve as f(-1, 5), y must Selectv by (c) Consider the point (-2, -2). When y is increased by 1.5, by what amount must x change in order for the output to remain constant? In order for the output of f(x, -0.5) to remain constant with f(-2, -2), x must-Select-L by Need Help? Read It
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:The figure shows a contour graph of f as a function of x and y.
contours f(x, y)
10
2.0
1.5
1.0
0.5
X H
+
-3
0-2
-1
-0.5
-10
-1.5
-5
-10
(a) Consider any point (x, y) on the graph. What happens to the function output when x remains constant and y increases?
The output of f-Select-- v as y increases along any line perpendicular to the x-axis.
(b) Consider the point (-1, 5). When x is decreased by 1/2, by what amount must y change for the point to remain on the same contour curve?
In order for f(-1.5, y) to remain on the same contour curve as f(-1, 5), y must
Select-v by
(c) Consider the point (-2, -2). When y is increased by 1.5, by what amount must x change in order for the output to remain constant?
In order for the output of f(x, -0.5) to remain constant with f(-2, -2), x must--Select- v by
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