🤔 Find out what you don't know with free Quizzes 🤔Start Quiz Now!

# The idea of the average value of a function, discussed earlier for functions of the form $y=f(x),$ can be extended to functions of more than one independent variable. For a function $z=f(x, y),$ the average value of $f$ over a region $R$ is defined as$$\frac{1}{A} \iint_{R} f(x, y) d x d y$$where $A$ is the area of the region $R .$ Find the average value for each function over the regions $R$ having the given boundaries.$$f(x, y)=6 x y+2 x ; \quad 2 \leq x \leq 5,1 \leq y \leq 3$$

## 49

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp