Tutorial Week 11
Hessian Matrix and Local Extrema
Q1: Compute the hessian matrix of \(f(x, y, z) = z^2 + x^2 - y^3\).
Multivariable Optimization and Lagrange Multipliers
Q2: Find the greatest and least distance from \((1, -1)\) for the surface \(x^2 + y^2 - 3 = 0\).