- Suppose that
*b*satisfies*b*> 1. Explain the relationship between the graphs ofand

- Suppose that
*f*(*x*) is an exponential function that satisfies . Find the value of*b*so thatand compute the value of

*f*(2). - Suppose that the population of a certain bacteria can be modeled
by an exponential function. In a particular experiment, the number of
bacteria was 10,000 at
*t*=0. Four hours later, the number of bacteria was 250,000. Suppose a second experiment is performed under the same conditions, but the number of bacteria at*t*=0 is only 2000. Show, using the equation for exponential growth, that the predicted number of bacteria after four hours in this second experiment is 50,000. - Suppose that for a certain drug, the following results were
obtained. Immediately after the drug was administered, the
concentration was 3.3 mg/ml. Six hours later, the concentration had
dropped to 1.55 mg/ml. Determine the value of
*k*for this drug. - Suppose that for the drug in the previous exercise, the maximum safe level is and the minimum effective level is . What is the maximum possible time between doses for this drug?

Fri Jan 31 14:58:36 EST 1997