High score with maple to do a calculus problem! Consider the following function on the interval [0, π/2]. f (x) = √ 2x cos8(2x) (a) approximate the area under F &; (x) on the given interval using midpoints with n = 10 (b) compute the definite integral of F ｛ 8201; (x) on the interval [0, ｛ 8201; π / 2] (c) find the absolute value of the error involved in estimating the area under F &; (x) on the given interval using a Riemann sum with midpoints and N = 10 (d) Using trial and error,determine the smallest number n of subintervals such that the absolute error of the midpoint Riemann sum with respect to the exact value of the area is less than 0.0005. 2X times (COS (2x)) ^ 8 under the root of the equation

In order to make the absolute error less than 0.0005, it can be seen from the above trial results that the minimum value of n is equal to 5

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