Refer to Theorem 7.2 and let f(x) = sin e x . a. Find a Trapezoid Rule

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Refer to Theorem 7.2 and let f(x) = sin ex

a. Find a Trapezoid Rule approximation toS sin e* dx  using = 40 subintervals.

b. Calculate f"(x).

c. Explain why |f"(x)| < 6 on [0, 1], given that e < 3. Graph f".

d. Find an upper bound on the absolute error in the estimate found in part (a) using Theorem 7.2.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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