Tutorial Week 11

Hessian Matrix and Local Extrema

Q1: Compute the hessian matrix of \(f(x, y, z) = z^2 + x^2 - y^3\).

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Multivariable Optimization and Lagrange Multipliers

Q2: Find the greatest and least distance from \((1, -1)\) for the surface \(x^2 + y^2 - 3 = 0\).

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