Let f(x, y) = xe*²-y and P = (2, 4). (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction Vf (c) Find the rate of change of f in the direction of a Answers: (a) sqrt 85
Let f(x, y) = xe*²-y and P = (2, 4). (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction Vf (c) Find the rate of change of f in the direction of a Answers: (a) sqrt 85
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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1.1
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Transcribed Image Text:Let f(x, y) = xex²-y and P = (2, 4).
(a) Calculate ||Vfp||.
(b) Find the rate of change of f in the direction Vfp.
(c) Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp.
Answers:
(a) sqrt 85
(b) |
(c)
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