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Sketchthegraphofthefunctiony=20x−x2 from x=0 to x=20. • Next, with five equal intervals (i.e. with n = 5),...

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Basic Math

Sketchthegraphofthefunctiony=20x−x2 from x=0 to x=20.

• Next, with five equal intervals (i.e. with n = 5), compute thetrape- zoidal, T , and Simpson’s rule S, estimates for thefollowing integral J= integral 0 to 20 (20x−x^2)dx.

• Finally compute the exact value of the integral J . • Comparethe exact value with the your estimates T and S and discuss.

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