Suppose a population can be modeled by 50 P(t) = where time is in years since 2005. (1+75e--5t) During what year is this population growing most rapidly?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose a population can be modeled by 

\[ P(t) = \frac{50}{1 + 75e^{-0.5t}} \]

where time is in years since 2005. During what year is this population growing most rapidly?

**Select one:**
- ☐ 2009
- ☐ 2015
- ☐ 2011
- ☐ 2007
- ☐ 2013
Transcribed Image Text:Suppose a population can be modeled by \[ P(t) = \frac{50}{1 + 75e^{-0.5t}} \] where time is in years since 2005. During what year is this population growing most rapidly? **Select one:** - ☐ 2009 - ☐ 2015 - ☐ 2011 - ☐ 2007 - ☐ 2013
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