The table shows values of a function over a square region R. Divide the region into

The table shows values of a function ƒ over a square region R. Divide the region into 16 equal squares and select (x_i, y_i) to be the point in the ith square closest to the origin. Compare this approximation with that obtained by using the point in the ith square farthest from the origin.

Transcribed Image Text:

f*f* f(x, y) dy dx X 0 1 2 3 4 y 0123 4 32 31 28 23 16 31 30 27 15 28 27 24 19 12 22 19 14 7 16 15 12 7 0 23 22