A radioactive isotope has a half life of 30 years. If we started off with 10 mg of this isotope 12 years ago:
1. Find an expression for the amount of the isotope that is still active using time t measured in years.
2. How much of the isotope do we have at the present time?
3. What is the present instantaneous rate of decay? Show a solution using the f prime of x = the limit as h approaches 0 of (f(x+h) – f(x)) / (h)?
4. Show a graph of the quantity of isotope over 100 years.
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