Let f(x, y) = xez-v and P = (6,36). (a) Calculate Vfpl. (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 V Answers: (a) 73.25 (b) 73.25 (c) 51.27 I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(x, y) = xez-y and P = (6,36).
(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) 73.25
(b) 73.25
(c) 51.27
I
Transcribed Image Text:Let f(x, y) = xez-y and P = (6,36). (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) 73.25 (b) 73.25 (c) 51.27 I
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