(d) In what direction does Vf point at point P? in the direction (Give a vector that points generally in the right direction.) In what direction does Vf point at point Q? in the direction

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 faz positive or negative? positive
How about f? negative
(d) In what direction does Vf point at point P?
in the direction
(Give a vector that points generally in 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? PⒸ
-1
10 9/8
2,5
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 faz positive or negative? positive How about f? negative (d) In what direction does Vf point at point P? in the direction (Give a vector that points generally in 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? PⒸ -1 10 9/8 2,5
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