Calculus Two chemicals (the reactants) react to produce a product. The Law of Mass Action tells us that the time taken, t, to produce a quantity of the product is given by x0, ՐՕ k t = dx, (a - x) (b - x) where a and b are the quantities of the two reactants initially present (with 0 < a <b), and k is a positive constant. (a) Find the time taken to make a quantity xo (b) What happens to t as xo → a? = a of the product.