1. Test for relative extrema and saddle points. z=x²+ 10xy +y²+ 192x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Test for relative extrema and saddle points.
z =x²+ 10xy +y²+ 192x
a. saddle point at(4, 20, –1152)
b. saddle point at
(4, –20, 384)
C. saddle point at (0, 0, 0)
d. relative minimum at (4. 20, 1984)
e. relative minimum at -56, 200, -79616)
Transcribed Image Text:1. Test for relative extrema and saddle points. z =x²+ 10xy +y²+ 192x a. saddle point at(4, 20, –1152) b. saddle point at (4, –20, 384) C. saddle point at (0, 0, 0) d. relative minimum at (4. 20, 1984) e. relative minimum at -56, 200, -79616)
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