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 k is some positive constant. (The domain of the function is D = [0, 0).) (a) Does the function A(t) have a horizontal asymptote (for t > 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.

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 k is some positive constant. (The domain of the function is D = [0, 0).) (a) Does the function A(t) have a horizontal asymptote (for t > 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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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