Consider the position function s(t) = -16t 2 + 100t. Complete the following table with the appropriate

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Consider the position function s(t) = -16t2 + 100t. Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 3.

Time interval               Average velocity
[2, 3]............................
[2.9, 3].........................
[2.99, 3].......................
[2.999, 3].....................
[2.9999, 3]...................

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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