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Okay so for a is the instantaneous rate of change. But in this scenario, you can't just say the instantaneous rate of change right? I'm not sure how to put it. Maybe the population of rabbits at any point in the year?

Julius  Mar 4, 2018

Best Answer 

 #1
avatar+7048 
+3

P(x)  is the population of rabits at any point in any year. To get the population after  3  years, calculate  P(3). To get the population halfway through the third year, calculate  P(3.5) .

 

P'(x)  is the instantaneous rate of change in population per change in year. For example...

 

P'(11) = -4  means that after  11  years, the population was increasing by  -4  per  1 year....in other words....the population was decreasing by  4  per year.

hectictar  Mar 4, 2018
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1+0 Answers

 #1
avatar+7048 
+3
Best Answer

P(x)  is the population of rabits at any point in any year. To get the population after  3  years, calculate  P(3). To get the population halfway through the third year, calculate  P(3.5) .

 

P'(x)  is the instantaneous rate of change in population per change in year. For example...

 

P'(11) = -4  means that after  11  years, the population was increasing by  -4  per  1 year....in other words....the population was decreasing by  4  per year.

hectictar  Mar 4, 2018

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