Calculus 10th Edition
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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 .
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Substitute in .
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When , .
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When , .
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Amount after : .
Amount after : .
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