The position in feet of a race car along a straight track after tt seconds is modeled by the function s(t)=8 t^2 − 116 t^3. Find the average velocity of the vehicle over the following time intervals to four decimal places: [4, 4.1] [4, 4.01] [4, 4.001] [4, 4.0001]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 5E: Find the average rate of change for each function over the given interval. y=x between x=1 and x=4
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[T] The position in feet of a race car along a straight track after tt seconds is modeled by the function s(t)=8 t^2 − 116 t^3.

  1. Find the average velocity of the vehicle over the following time intervals to four decimal places:
    1. [4, 4.1]
    2. [4, 4.01]
    3. [4, 4.001]
    4. [4, 4.0001]
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