b. Which of the following vectors is in a direction of no change of the function at P?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 73E
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Answer b

b. Which of the following vectors is in a direction of no change of the function at​ P?

*hint: the answer is NOT A

thank you!

 

Consider the function f(x,y) = 5x-y -7 and the point (- 2,2).
a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P.
b. Find a vector that points in a direction of no change in the function at P.
a. What is the unit vector in the direction of steepest ascent at P?
20
4
-
V416
416
(Type exact answers, using radicals as needed.)
What is the unit vector in the direction of steepest descent at P?
20
4
6 V416
(Type exact answers, using radicals as needed.)
V41
b. Which of the following vectors is in a direction of no change of the function at P?
А. (20, - 4)
В. (-20,4)
С. (4, - 20)
D. (4,20)
Transcribed Image Text:Consider the function f(x,y) = 5x-y -7 and the point (- 2,2). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? 20 4 - V416 416 (Type exact answers, using radicals as needed.) What is the unit vector in the direction of steepest descent at P? 20 4 6 V416 (Type exact answers, using radicals as needed.) V41 b. Which of the following vectors is in a direction of no change of the function at P? А. (20, - 4) В. (-20,4) С. (4, - 20) D. (4,20)
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