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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:Given the function below
f(r, y, z) = 2 cos (r) + xy - xz – y – e2 + 2z
%3D
|
(a) Show that the origin (0,0,0) is a stationary point (show the gradient is 0).
(b) Show that the Hessian matrix ("second derivative matrix") at that point is
-2
1 -1
H =
1
-2
-1
0 -4
(c) What kind of stationary point is this? Or is there insufficient information? Justify
your answer.
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