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Numerade Educator

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Problem 32 Hard Difficulty

(a) A tableof values of a function $ g $ is given. Use Simpson's Rule to estimate $ \displaystyle \int_0^{1.6} g(x)\ dx $.
(b) If $ -5 \le g^{(4)} (x) \le 2 $ for $ 0 \le x \le 1.6 $, estimate the error involved in the approximation in part (a).

Answer

a. 19.21
b. $\left|E_{s}\right| \leq .000071111$

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Video Transcript

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