Question
Consider the exponential decay function $y=P_{0} e^{-\lambda t},$ with time constant $T .$ We define the time to finish to be the time it takes for the function to decay to about $1 \%$ of its initial value $P_{0} .$ Show that the time to finish is about four times the time constant $T.$
Step 1
Step 1: First, we start with the given exponential decay function $y=P_{0} e^{-\lambda t}$, where $P_{0}$ is the initial value, $\lambda$ is the decay constant, and $t$ is the time. Show more…
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