5. Let ƒ(x,y,z)=2xy²z² − 3xy a) Find the rate of change of ƒ (x, y,z) at P(1, 1, -2) in the direction of (1,2,2) b) Find the maximum rate of increase of ƒ(x,y,z) at P and give the direction in which this occurs.
5. Let ƒ(x,y,z)=2xy²z² − 3xy a) Find the rate of change of ƒ (x, y,z) at P(1, 1, -2) in the direction of (1,2,2) b) Find the maximum rate of increase of ƒ(x,y,z) at P and give the direction in which this occurs.
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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hi please use handwriting not computer for answer
![5. Let f(x, y, z)=2xy²z² - 3xy
a) Find the rate of change of f(x, y, z) at P(1, 1, -2) in the direction of (1,2,2)
b) Find the maximum rate of increase of f(x, y, z) at P and give the direction in which this occurs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F865fe2c2-18ba-48f5-b3ff-572ca369b061%2Fe1f4a447-875f-4667-81c4-827d5b2ff28f%2Fgjl6z2e_processed.png&w=3840&q=75)
Transcribed Image Text:5. Let f(x, y, z)=2xy²z² - 3xy
a) Find the rate of change of f(x, y, z) at P(1, 1, -2) in the direction of (1,2,2)
b) Find the maximum rate of increase of f(x, y, z) at P and give the direction in which this occurs.
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