1. A runner’s total distance traveled (in miles) over a two-hour run is given by 3t2 – 3 d(t) = + 3, t3 +1 where t is the time (in hours) since they began running. а. Find d'(t). b. Compute d'(1) and interpret the meaning in context.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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1. A runner's total distance traveled (in miles) over a two-hour run is given by
3t2 – 3
d(t) =
+ 3,
t3 +1
where t is the time (in hours) since they began running.
а.
Find d'(t).
b.
Compute d'(1) and interpret the meaning in context.
Transcribed Image Text:1. A runner's total distance traveled (in miles) over a two-hour run is given by 3t2 – 3 d(t) = + 3, t3 +1 where t is the time (in hours) since they began running. а. Find d'(t). b. Compute d'(1) and interpret the meaning in context.
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