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Find the angle between the gradient of f(x, y, z) = ze5x + 6y and a unit vector û that will make the directional derivative of f at Po(1,-1, 3) in the direction of û equal to 90% of the maximum rate of change of f at Po 8 =

Find the angle between the gradient of f(x, y, z) = ze5x + 6y and a unit vector û that will make the directional derivative of f at Po(1,-1, 3) in the direction of û equal to 90% of the maximum rate of change of f at Po 8 =

Advanced Engineering Mathematics
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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Find the angle between the gradient of f(x, y, z) = ze5x + 6y and a unit vector û that will make the directional derivative of f at P (1, −1, 3) in the direction of û equal to 90% of the maximum rate of change of f at Po 0 =
Transcribed Image Text:Find the angle between the gradient of f(x, y, z) = ze5x + 6y and a unit vector û that will make the directional derivative of f at P (1, −1, 3) in the direction of û equal to 90% of the maximum rate of change of f at Po 0 =
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