Let f(x, y) = xe-y and P = (4, 16). (a) Calculate || Vfp||- (b) Find the rate of change of f in the direction Vfp. (c) Find the rate of change of f in the direction of a vector making an angle of 45° with V fp. Answers : (a) (b) (c)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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Let f(x, y) = xe-y and P = (4, 16).
(a) Calculate || Vfp||-
(b) Find the rate of change of f in the direction Vfp.
(c) Find the rate of change of f in the direction of a vector making an angle of 45° with V fp.
Answers :
(a)
(b)
(c)
Transcribed Image Text:Let f(x, y) = xe-y and P = (4, 16). (a) Calculate || Vfp||- (b) Find the rate of change of f in the direction Vfp. (c) Find the rate of change of f in the direction of a vector making an angle of 45° with V fp. Answers : (a) (b) (c)
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