Let f(x, y) (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction V fp. (c) Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp. xea-Y and P = (9, 81).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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xe-y and P = (9, 81).
Let f(x, y)
(a) Calculate || Vfp||-
(b) Find the rate of change of ƒ in the direction V fp.
(c) Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp.
Answers :
(a)
(b)
(c)
Transcribed Image Text:xe-y and P = (9, 81). Let f(x, y) (a) Calculate || Vfp||- (b) Find the rate of change of ƒ in the direction V fp. (c) Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp. Answers : (a) (b) (c)
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