Question: For each problem, locate the critical points and evaluate the Hessian matrix at each critical point. a. (f(x, y)=(x+y)^{2}). b. (f(x, y)=x^{2} y+x y^{2}). c.
For each problem, locate the critical points and evaluate the Hessian matrix at each critical point.
a. \(f(x, y)=(x+y)^{2}\).
b. \(f(x, y)=x^{2} y+x y^{2}\).
c. \(f(x, y)=x^{4} y+x y^{4}-x y\).
d. \(f(x, y, z)=x y+x z+y z\).
e. \(f(x, y, z)=x^{2}+y^{2}+x z+2 z^{2}\).
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