When the drug is injected into muscle tissue, it diffuses into bloodstream. Concentration, C (in mg per liter), of drug in blood is the function of two variables: x, amount (in mg) of drug given in injection, and t, time (in hours) since injection was administered. Assume it is given that C=f(x,t)=1.5te0.2t(5-x) for 0≤x≤ 4 and t≥ 0 .
1. On same set of axes, graph C as the function of t for injections of 1, 2, 3, and 4 mg. Put scale on the axes. Write each graph with corresponding injection levels.
2. Explain how graphs change for larger values of x and decribe what means in terms of drug concentration in blood.