Consider the function F(x,y) = e-x²12-y²/2 and the point P(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. The direction of steepest ascent is The direction of steepest descent is b. Which of the following vectors points in a direction of no change of the function at P(2,-2)? O A. (1,1) B. (0,1) OC. (1,0) OD. (1,1)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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-x²12-y²/2
Consider the function F(x,y) = e
and the point P(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. The direction of steepest ascent is
The direction of steepest descent is
b. Which of the following vectors points in a direction of no change of the function at P(2,-2)?
OA. (-1,1)
B. (0,1)
C. (1,0)
O D. (1,1)
Transcribed Image Text:-x²12-y²/2 Consider the function F(x,y) = e and the point P(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. The direction of steepest ascent is The direction of steepest descent is b. Which of the following vectors points in a direction of no change of the function at P(2,-2)? OA. (-1,1) B. (0,1) C. (1,0) O D. (1,1)
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