# HW 6 - At time zero p(0 the instantaneous population is 1...

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Homework Set 6 Name: _Ryan Corley_ Section: __4 _ 1. Suppose the number of individuals in a given population is described by the following expression: 2 ( ) ( 1) t p t t = + , where p is the population size and t is time in years. (a) What information (in general) does the derivative of a function tell us? The derivative tells us the instantaneous population size at time (t). It is p(t) which means population size with respect to time. The derivative is 1 t^2 ---------- - 2 -------------- t^2 + 1 (t^2 + 1)^2

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(b) What is the value of p'(0) and p'(3)? p'(0)= 1 p'(3)= -0.08 (c) What is the meaning of the values of p'(0) and p'(3)?
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Unformatted text preview: At time zero, p'(0), the instantaneous population is 1. He is the lone survivor. At time 3, p'(3), the instantaneous population is -.08. I can only assume then that the population has declined from 1 to .08 between time 0 and 3. 2. Over the next week, read the article posted under Lab 6. Next week's homework (on Lab7) will include questions from this article. "Mathematics Is Biology’s Next Microscope, Only Better; Biology Is Mathematics’ Next Physics, Only Better." Okey dokey....
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## This note was uploaded on 04/17/2008 for the course MAP 2480 taught by Professor Monicahurdal during the Fall '07 term at FSU.

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HW 6 - At time zero p(0 the instantaneous population is 1...

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