Find a unit vector in the direction in which f(x, y) = 6 cos(x – 5y) decreases most rapidly at P and find the rate of change of f 2' 20. at P in that direction.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find a unit vector in the direction in which f (x, y) = 6 cos(x – 5y)
%3D
decreases most rapidly at P
and find the rate of change of f
2' 20.
at P in that direction.
NOTE: Enter the exact answers.
= n
2' 20.
Transcribed Image Text:Find a unit vector in the direction in which f (x, y) = 6 cos(x – 5y) %3D decreases most rapidly at P and find the rate of change of f 2' 20. at P in that direction. NOTE: Enter the exact answers. = n 2' 20.
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