(3) (B.A.D. group) The mass of a radioactive substance with half-life of 2 days is modeled by M(t) = M, (2) where M, is the original mass. Suppose that a large hole is dug in the desert and a worker from the Bradford-Anderson Desalination group chucks 1 kg of the substance in every day. Assume that when the mass decays away it goes to gas and leaves the hole. Answer the following questions. (a) Determine the mass as function of time on day 0 to 1, day 1 to 2 and day 2 to 3. (b) Determine the mass as a function of time on day n to n +1. (c) What is the largest quantity of mass of the substance in the hole at any given time? (d) Illustrate the mass as a function of time using a graph for 0