Calculus, 9th edition
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33
| PAGE: 421 | SET: Exercises | PROBLEM: 33 |
Please look in your text book for this problem Statement
Exponential growth and Decay model:
If 
is a differentiable function of 
such that 
and 
for some constant 
, then 
.
is the initial value of 
and 
is the proportional constant.
Exponential growth occurs when 
, and exponential decay occurs when 
.
The initial quantity is 
.
The isotope 
has half life 
.
.
When 
is 
and is 
.
.
Substitute 
in 
.
.
When 
, 
.
.
When 
, 
.
.
Amount after 
: 
.
Amount after 
: 
.
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