(a) The growth of bacteria colonies is given by the formula M = Moert where M, is the initial mass of the bacteria population; r is the growth rate constant (hour); M is the mass of the population after time r; and t is the elapsed time (hours). At the start of an experiment, a bacteria colony has mass M = 2 x 10-9 grams. After two hours, M = 1.5 x 10-8 grams. Calculate: (i) the growth rate r of the colony; and (ii) the mass of the colony after 10 hours. (b) Solve 2x=In(5e* - 4). (c) Solve (sinx + cos x)=2 for 0x2.