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Write a C program code for the following question 2. Consider a radioactive decay problem involving two types of nuclei, A and B, with popu-

Write a C program code for the following question
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2. Consider a radioactive decay problem involving two types of nuclei, A and B, with popu- lations NA(t) and NB(t) that are governed by the rate equations: dNA dt dNB dt where TA and TB are decay time constants associated with each nucleus. In this problem, you will explore the behaviour found for different values of the time constants. Specifically, integrate the equations using the following parameters: = 1 0,n 1.0, NA(O) 100, NB(0) = O = 1 0,n 1.0, NA(O) - 100, NB(O) 100. | o, Tb 2.0, NA(0) 100, NB(0) = O (d) TQ = 2 0, Tb 1.0, NA(O) 100, NB(0) = O For each case, plot NA(t) and NB(t) vs. t on the same graph (i.e. four separate plots in total). Be sure to label the axes properly. Do the values of Tb and NB(O) affect NA(t)? Explain. Do the values of Ta and NA(O) affect NB(t)? Explain.

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