How do you Find exponential decay half life?
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To find the half-life of exponential decay, you can use the formula:
[ T_{1/2} = \frac{\ln(2)}{k} ]
Where:
- ( T_{1/2} ) is the half-life,
- ( \ln(2) ) is the natural logarithm of 2 (approximately 0.693),
- ( k ) is the decay constant.
The decay constant ( k ) is determined by the specific decay process. If you have the decay rate or decay constant provided, you can directly substitute it into the formula to find the half-life. If you're given the time it takes for a quantity to decrease to half its initial value, you can rearrange the formula to solve for the decay constant ( k ), and then use it to find the half-life.
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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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