The concentration, C, of a drug in the blood is given by C = f(x, t) = xte^−t, where x is the amount of drug injected (in mg) and t is the number of hours since the injection. The contour diagram of f(x, t) is given in Figure 8.34. Explain the diagram by varying one variable at a time: describe f as a function of x if t is held fixed, and then describe f as a function of t if x is held fixed.

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1 (hours) 5 4 3 2 1 0.1 0.2: 0.3 0.4: 0.5 1 2 3 4 Figure 8.34 5 x (mg)