Approximation The table shows values of a function over asquare region Divide the region
Chapter 14, Problem 5(choose chapter or problem)
Approximation The table shows values of a function f over a square region R. Divide the region into 16 equal squares and select \(\left(x_{i}, \ y_{i}\right)\) 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.
\(\int_{0}^{4} \int_{0}^{4} f(x, \ y) \ d y \ d x\)
Text Transcription:
(x_i, y_i)
int_0 ^4 int_0 ^4 f(x, y) dy dx
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