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A contour diagram for the smooth function z = f(x, y) is shown below. (a) Is z an increasing or decreasing function of x? decreasing 1 2/3 2.5

A contour diagram for the smooth function z = f(x, y) is shown below. (a) Is z an increasing or decreasing function of x? decreasing 1 2/3 2.5

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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A contour diagram for the smooth function z = f(x, y) is shown below. (a) Is z an increasing or decreasing function of x? decreasing Of y? increasing (b) Is fa positive or negative? negative How about fy? positive (c) Is fex positive or negative? positive How about fyy? negative -1 (d) In what direction does Vf point at point P? in the direction (Give a vector that points generally the right direction.) In what direction does Vf point at point Q? in the direction (Again, give a vector that points generally in the right direction.) (e) Is Vf longer at P or at Q? ? 2/3 2,5 10 6
Transcribed Image Text:A contour diagram for the smooth function z = f(x, y) is shown below. (a) Is z an increasing or decreasing function of x? decreasing Of y? increasing (b) Is fa positive or negative? negative How about fy? positive (c) Is fex positive or negative? positive How about fyy? negative -1 (d) In what direction does Vf point at point P? in the direction (Give a vector that points generally the right direction.) In what direction does Vf point at point Q? in the direction (Again, give a vector that points generally in the right direction.) (e) Is Vf longer at P or at Q? ? 2/3 2,5 10 6
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