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?
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59e80801-02d9-473f-80ed-2b97fa470de7%2Ff39232bc-b977-4661-a0ec-11e60eeff583%2Fxvish19_processed.png&w=3840&q=75)
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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