If f(x,y, z) = x²y cos(2ryz), find the rate of change in the function at the point (x, y, z) = (1,1, 5) in the direction of v = (2, 1, 3). Find the direction of maximum increase at (1, 1,5) and give the value of this increase. %3D
If f(x,y, z) = x²y cos(2ryz), find the rate of change in the function at the point (x, y, z) = (1,1, 5) in the direction of v = (2, 1, 3). Find the direction of maximum increase at (1, 1,5) and give the value of this increase. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:If f(x, y, 2) = x²y cos(2ryz), find the rate of change in the function at the point (r, y, 2)
= (1,1, 5) in the direction of v = (2, 1, 3). Find the direction of maximum increase at
(1,1, ) and give the value of this increase.
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