figure shows a contour graph of F as contours f(x, y) y 10 1.0 0.5 5 -3 0 -2 -1 -0.5 -1.0 -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-.. 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-- 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 flx. -0.5) to remain constant with f(-2. -2) x must ---Select--- hy

figure shows a contour graph of F as contours f(x, y) y 10 1.0 0.5 5 -3 0 -2 -1 -0.5 -1.0 -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-.. 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-- 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 flx. -0.5) to remain constant with f(-2. -2) x must ---Select--- hy

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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Question

The figure shows a contour graph of fas a function of x and y.
contours f(x, y)
y
10
5
1.0
0.5
-3
0 _2
0.5
-10
(a) Consider any point (x, y) on the graph. What happens to the function output when x remains constant and y increases?
as y increases along any line perpendicular to the x-axis.
The output of f ---Select---
(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--- 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--- by

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