The idea of the average value of a function, discussed earlier for functions of the form y
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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) = 6xy + 2x; 2 ≤ x ≤ 5, 1 ≤ y ≤ 3
Transcribed Image Text:
[] f (x, y) dx dy, R A
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fx y 6xy 2x 2 x 51 y 3 The area of region R is ...View the full answer
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