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3. Polynomial fits Certain isotopes are unstable and decay through radioactive decay. The formula for radioactive decay is: A is the decay constant (the time for N to decay to 1/exp of the original value T is time N is the number of nuclei remaining after time T No is the original number or parent nuclei The half-life (t12) is the time for N to decay to N, /2. The formula is: t112 Write a lambda function to calculate radioactive decay. The decay constant, time, and initial parent should be supplied as parameters The half-life of radiocarbon is 5,730 yrs. Calculate the decay constant of radiocarbon in years. What is it in seconds? Assume that the initial parent, No, is 1, and time ranges from 0 to 7 half-lives. Use your function to calculate radioactive decay for radiocarbon. . Plot a curve of N versus T Calculate the best-fit polynomial to your curve. . Draw a red vertical line at the half-life of radiocarbon and a red horizontal line at .5