Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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the second pic is from the answer key, so the answers should match

4. (a) (7,2).
(b) 六
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Transcribed Image Text:4. (a) (7,2). (b) 六
Let f be a differentiable function of x and y, and let g be the function
defined by g(u, v) f(eu + sin v, eu + cos v). Use the table of function values given
below to answer the following questions.
3
=
fg
(0,0) 3
(1,2) 6 3
Compute Vg(0, 0).
fx fy
4
8
2
5
(b)
Compute the directional derivative of g at (0, 0) in the direction of the
vector (-1,2).
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Transcribed Image Text:Let f be a differentiable function of x and y, and let g be the function defined by g(u, v) f(eu + sin v, eu + cos v). Use the table of function values given below to answer the following questions. 3 = fg (0,0) 3 (1,2) 6 3 Compute Vg(0, 0). fx fy 4 8 2 5 (b) Compute the directional derivative of g at (0, 0) in the direction of the vector (-1,2).
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