Determine the coercivity of the following functions and explain the reason: (a) f(x_(1)x_(2))=x_(1)^(2)+x_(2)^(2)-4x_(1)x_(2); (b) f(x_(1) x_(2))=x_(1)^(2)+x_(2)^(2)-x_(1)x_(2)-x_(1)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 19E
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Determine the coercivity of the following functions and explain the reason:

(a) f(x_(1)x_(2))=x_(1)^(2)+x_(2)^(2)-4x_(1)x_(2);

(b) f(x_(1) x_(2))=x_(1)^(2)+x_(2)^(2)-x_(1)x_(2)-x_(1)

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