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), he average value of f over a region R is defined as

where A is the area of the region R. Find the average value for each function over the regions R having the given boundaries.

ƒ(x, y) = e^-5y+3x; 0 ≤ x ≤ 2, 0 ≤ y ≤ 2

[] f (x, y) dx dy, R A