In paleontology, the phenomenon of radioactive decay is commonly used to date fossil remains. This method uses the fact that the rate of decay $\frac { d A } { d t }$ of an element will be proportional to the amount $A$ of the radioactive element that exists at time $t$ .(a) Determine a differential equation that $A ( t )$ must satisfy.(b) What can you say about $A ( t )$ as $t \rightarrow \infty$ ?
(c) Find a solution to your differential equation.(d) How long will it take for half of the original amount of the radioactive element to decay?

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The Answer of In paleontology, the phenomenon of radioactive decay is commonly used to date fossil remains. This method uses the fact that the rate of decay $\frac { d A } { d t }$ of an element will be proportional to the amount $A$ of the radioactive element that exists at time $t$ .(a) Determine a differential equation that $A ( t )$ must satisfy.(b) What can you say about $A ( t )$ as $t \rightarrow \infty$ ?
(c) Find a solution to your differential equation.(d) How long will it take for half of the original amount of the radioactive element to decay?

In Paleontology, the Phenomenon of Radioactive Decay Is Commonly Used dAdt\frac { d A } { d t }dtdA​

In Paleontology, the Phenomenon of Radioactive Decay Is Commonly Used $\frac { d A } { d t }$