The average value or mean value of a continuous function f (x, y) over a region...

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The average value or mean value of a continuous function f (x, y) over a region R in the xy-plane is defined as fave A (R) where A (R) is the area of the region R. Use this definition in this exercise. 11 over the triangular region with vertices (0, 0), (1, 1) and (0, 1). Find the average value of 1+x2 The average value or mean value of a continuous function f (x, y) over a region R in the xy-plane is defined as fave A (R) where A (R) is the area of the region R. Use this definition in this exercise. 11 over the triangular region with vertices (0, 0), (1, 1) and (0, 1). Find the average value of 1+x2