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1. (a) Sketch the graph of the function

 

g(t) = 30(1− e−0.24t)

 

for t ≥ 0 indicating clearly the values of g(t) at t = 0, 5, 10, 15, 20, 25. What is the limiting value of g(t) as t becomes infinitely large

 Aug 9, 2016
 #1
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You should try it yourself using this very good graphing calculator. If you don't understand something, then ask Melody or CPhill to explain it to you.

https://www.desmos.com/calculator

 Aug 9, 2016
 #2
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I assume this is   g(t) = 30[1− e^(−0.24t) ]

 

If so....here's the graph using "y" instead of g(t) :  https://www.desmos.com/calculator/bmr4y4mctj

 

Here are the values associated with the various t values   {0., 20.9642, 27.2785, 29.1803, 29.7531, 29.9256}

 

It we let t get extremely large........the term e^(-0.24t)  approaches 0

 

So....... 30 [ 1 - 0 ]   =  30 [1]  = 30

 

The graph shows this as well.......

 

 

 

cool cool cool

 Aug 9, 2016

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