Double & triple integrals

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 average value of $f(x,y) = -3xy$ over the rectangle $R$ given by $0 \le x \le 5$, $0 \le y \le 5$.

2. Warm-up

   Find the average value of $f(x,y) = -4xy$ over the rectangle $R$ given by $0 \le x \le 3$, $0 \le y \le 5$.

3. Warm-up

   Find the average value of $f(x,y) = -5xy$ over the rectangle $R$ given by $0 \le x \le 5$, $0 \le y \le 1$.

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