Question 3 Carbon 14 decays into Nitrogen 14. Using Google, find the half life H of Carbon 14. The differential equation modeling radioactive decay is y' (t) = -ky(t) where k

is the decay rate constant and y(0) is the initial concentration of Carbon 14. Given the half life is H, that is, given that y(H) = y(0)/2, determine k. You can do this one by hand at first but then do it in Maple. [Solve the DE in Maple and graph the solution for y(0) = 1 on a suitable domain.