Mathematics

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24 July, 20:24

Approximate the integral R f (x, y) dA by dividing the rectangle R with vertices (0, 0), (4, 0), (4, 2), and (0, 2) into eight equal squares and finding the sum 8 f (xi, yi) ΔAi i = 1 where (xi, yi) is the center of the ith square. Evaluate the iterated integral and compare it with the approximation. (Round your answers to one decimal place.) 1 4 4 0 2 x2y dy dx 0

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