Jacobians & Hessians

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Find the absolute maximum value of $f(x, y) = 2 x + 2 y$ on the closed rectangle $0 \le x \le 2$, $0 \le y \le 3$.

2. Warm-up

   Find the absolute maximum value of $f(x, y) = 4 x + 1 y$ on the closed rectangle $0 \le x \le 3$, $0 \le y \le 1$.

3. Warm-up

   Find the absolute maximum value of $f(x, y) = 4 x + 3 y$ on the closed rectangle $0 \le x \le 3$, $0 \le y \le 1$.

Problems shown under their original terms: Generated (template, solver-computed).