(a) What is the rate of change of f(x,y) = 3xy+y at the point (2,4) in the direction v = -i- 2j? fs = (b) What is the direction of maximum rate of change of f at (2,4)? direction =. (Give your answer as a vector.) (c) What is the maximum rate of change? maximum rate of change =.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) What is the rate of change of f(x,y) = 3xy+y at the point (2,4) in the direction v=-i-2j?
fr =.
(b) What is the direction of maximum rate of change of f at (2,4)?
direction = .
(Give your answer as a vector.)
(c) What is the maximum rate of change?
maximum rate of change = .
Transcribed Image Text:(a) What is the rate of change of f(x,y) = 3xy+y at the point (2,4) in the direction v=-i-2j? fr =. (b) What is the direction of maximum rate of change of f at (2,4)? direction = . (Give your answer as a vector.) (c) What is the maximum rate of change? maximum rate of change = .
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