You are given that the function f (x, y, z) = ax² + b(y² + z²) + cxy + dxz, a, b, c, d E R 6. has a critical point at (xo, Yo, 20) simultaneously equal to zero, classify the critical point (0,0,0) of f(x, y, z). (0,0, 0). Assuming a × b > 0 and c,d not

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You are given that the function
f (x, y, z) = ax² + b(y² + z²) + cxy + dxz,
a, b, c, d E R
6.
has a critical point at (xo, Yo, 20)
simultaneously equal to zero, classify the critical point (0,0,0) of f(x, y, z).
(0,0, 0). Assuming a × b > 0 and c,d not
Transcribed Image Text:You are given that the function f (x, y, z) = ax² + b(y² + z²) + cxy + dxz, a, b, c, d E R 6. has a critical point at (xo, Yo, 20) simultaneously equal to zero, classify the critical point (0,0,0) of f(x, y, z). (0,0, 0). Assuming a × b > 0 and c,d not
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