How do you find the equation of exponential decay?
Exponential decay and growth occurs widely in nature so I will use radioactive decay as an example.
When an atom decays it is a random, chance event. The number of atoms decaying per second depends only on the number of undecayed atoms N.
So we can write:
Rate of decay:
Rearranging gives:
Integrating both sides:
So
So
So
So
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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