We consider the function 9(x, y) = 2 + yt, and 9(x, y) = Vx +...
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We consider the function 9(x, y) = 2 + yt, and 9(x, y) = Vx² + y' and the integral g(x, y)dA a) Estimate the integral J3 using a Riemann sum with m 2, n = 3 on the domain D = [0, 6] x [0, 2], choosing the lower left corner of each sub-rectangle as an evaluation point. Remember that m represents the number of subdivisions in x and n represents the number of subdivisions in y. Give a simplified exact answer, then a decimal approximation rounded to the nearest hundredth. b) Is the value found in a) an underestimation or an overestimation of the real value of J3? Justify your answer. We consider the function 9(x, y) = 2 + yt, and 9(x, y) = Vx² + y' and the integral g(x, y)dA a) Estimate the integral J3 using a Riemann sum with m 2, n = 3 on the domain D = [0, 6] x [0, 2], choosing the lower left corner of each sub-rectangle as an evaluation point. Remember that m represents the number of subdivisions in x and n represents the number of subdivisions in y. Give a simplified exact answer, then a decimal approximation rounded to the nearest hundredth. b) Is the value found in a) an underestimation or an overestimation of the real value of J3? Justify your answer.
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