1. Let D(t) represent the amount of drug in a patient's blood (measured in grams) at time t (measured in hour). Assuming that the amount of drug decays exponentially, address the following problems.

(a) Write down the differential equation that best describes the decay of the amount of the drug.

(b) Find the general solution to the differential equation in part (a).

(c) After 2 hours the remaining amount of drug is 70 grams. Use this additional information to uniquely determine D(t).

(d) What is the half-life for D(t) that you have found in (c)

I need the solution for question C. How am I gonna get the answer if the exponential decay equation is D = Ae^-kt

^{with only one set of numbers?}