Suppose the distance that Emil the hedgehog has rolled is given by the function f(r) = 2r2
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Question:
Suppose the distance that Emil the hedgehog has rolled is given by the function f(r) = 2r2 + 7r + 10, where f (r) is in meters and r is in seconds.
Compute Emil’s average speed (average rate if change) between time r and r + ∆r. (To simplify entering functions we will use h for ∆r.)
This formula will help: f(r + h) – f(r)/h.
Emil’s average speed:
Now, compute Emil’s velocity (instantaneous rate of change) as a function of r.
What is Emil’s velocity at time r = 0?
Related Book For
Statistics Principles and Methods
ISBN: 978-0470904114
7th edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
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