Define the relative growth rate of the function f over the time interval T to be the

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Define the relative growth rate of the function f over the time interval T to be the relative change in f over an interval of length T:

f(t + T) – f(t) RT f(t)

Show that for the exponential function y(t) = y0ekt, the relative growth rate RT is constant for any T; that is, choose any T and show that RT is constant for all t.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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