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

seems like there are some information missing for this question. 10grams of Pu-239 would be the initial value, which is the constant C. You will need either half life of decay constant to determine the amount of isotopes in terms of time.

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

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