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Urgent (12) We wish to find a numerical approximation (not the exact value!) for the integral S using the midpoint rule. Jo (a) Give the

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Urgent

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(12) We wish to find a numerical approximation (not the exact value!) for the integral S using the midpoint rule. Jo (a) Give the expression for this integral using a midpoint rule with n = 4. Write this expression as a sum that is ready to be evaluated, but do not evaluate it (that is, use all provided information but do not simplify the expression). (b) Determine the smallest value of n that will guarantee that the approximation error x* dx is at most 0.01. Write a bound using the midpoint rule for the integral for this smallest n that is ready to be evaluated, but do not need to evaluate it.12 (13) Find the absolute maximum and absolute minimum value, as well as the location (x-coordinate) where they occur, for the function f(x) = (12 -3x + 1 )et on the closed interval - 2, 3]. [4pts] Give the final answer in the answer box. Show the rest of your work in the space below. Absolute maximum: (x, y) = Absolute minimum: (x, y) = Show your work

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