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Consider the following function: f(x1,x2) = x? + x5 x1 2x2 + x1362. (a) Compute the gradient vector of f. (b) Compute the Hessian matrix

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Consider the following function: f(x1,x2) = x? + x5 x1 2x2 + x1362. (a) Compute the gradient vector of f. (b) Compute the Hessian matrix of f. (c) Determine all points that yield stationary values of f. (d) Use the second-order conditions to determine Whether each of the stationary val- ues of f is a maximum, a minimum, or neither

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