The average value or mean value of a continuous function f(x, y) over a rectangle R=[a, b] ×[c, d] is defined as fave =(1)/(A(R)) ∬R f(x, y) d A where A(R)=(b-a)(d-c) is the area of the rectangle R (compare to Definition 5.8.1). Use this definition in these exercises Find the average value of f(x, y)=x^2 7 y over the rect- angle [0,3] ×[0,6] . | Numerade
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