In an elementary chemical reaction, single molecules of two reactants A and B form a molecule of the product C: A + B rightarrow C. The law of mass action states that the rate of reaction is proportional to the product of the concentrations of A and B. Thus, if the initial concentrations are [A] = a text moles/L and [B] = b text moles/L and we write x = [C], then we have dfracdxdt = k(a - x)(b - x). Assuming that a not = b, find x as a function of t. Use the fact that the initial concentration of C is 0.