The Law of exponential Decay is an application of antiderivatives. Just as
something can decay, it can grow as well. Both decay and growth are
included in the theorem below.
Exponential Growth and Decay
If y is a differentiable function of t such that y > 0 and y ' = ky, for some
constant k, then y = Cekt. C is the initial value of y, and k is the
proportionality constant. Exponential growth occurs when k > 0, and
exponential decay when k < 0.
Situation
10 grams of plutonium isotope Pu-239 is released in some far off nuclear
research facility. They have exposed the 10 grams of Pu-239 to air, s

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You will need \[y=Ce ^{kt}\] for exponential growth/decay

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