1. Suppose that when a patient takes a blood thinner drug at times t = 0, the amount of drug (in mg) in the patient's blood can be modelled by: A(t) = te-kt where time t > 0 is measured in hours, and where & is some positive constant. (The domain of the function is D = [0, 00).) (a) Does the function A(t) have a horizontal asymptote (for t 2 0)? Either compute the asymptote, or show that there is none. Would your answer change for different values of the positive constant k? (b) Write a sentence explaining what your answer in part (a) means for the patient. Does this seem reasonable? Explain briefly