Approximating the displacement Suppose the velocity in m/s of an objectmoving along a line is given by the function v = t2, where 0 ≤ t ≤ 8. Approximate the displacement of the object by dividing the time interval [0, 8] into n subintervals of equal length. On each subinterval, approximate the velocity with a constant equal to the value of v evaluated at the midpoint of the subinterval.Solve by dividing [0, 8] into n = 2 subintervals: [0, 4] and [4, 8].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 80RE
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Approximating the displacement Suppose the velocity in m/s of an object
moving along a line is given by the function v = t2, where 0 ≤ t ≤ 8. Approximate the displacement of the object by dividing the time interval
[0, 8] into n subintervals of equal length. On each subinterval, approximate the velocity with a constant equal to the value of v evaluated at the midpoint of the subinterval.
Solve by dividing [0, 8] into n = 2 subintervals: [0, 4] and [4, 8].

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