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Suppose that when a patient takes a blood thinner drug, 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. (a) Find all critical point(s) of the function A (where t > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point). You should answer with exact values, and your answers might depend on k.

Suppose that when a patient takes a blood thinner drug, 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. (a) Find all critical point(s) of the function A (where t > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point). You should answer with exact values, and your answers might depend on k.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3 a, b
(b) Fill in the blanks in the following sentences. (Note: If you are not printing the exam, you can write out the sentences and fill in the blanks.) For larger values of k the t-value of the critical point would be and for the patient, this means that for larger values of k, -(write "larger" or "smaller"), (Write a sentence.) Furthermore, for larger values of k the A-value of the critical point would be or "smaller"), and for the patient, this means that for larger values of k, (write "larger" (Write a sentence.)
Transcribed Image Text:(b) Fill in the blanks in the following sentences. (Note: If you are not printing the exam, you can write out the sentences and fill in the blanks.) For larger values of k the t-value of the critical point would be and for the patient, this means that for larger values of k, -(write "larger" or "smaller"), (Write a sentence.) Furthermore, for larger values of k the A-value of the critical point would be or "smaller"), and for the patient, this means that for larger values of k, (write "larger" (Write a sentence.)
Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient's blood can be modelled by: A(t) = te-kt %3D where time t > 0 is measured in hours, and where k is some positive constant. (a) Find all critical point(s) of the function A (where t > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point). You should answer with exact values, and your answers might depend on k.
Transcribed Image Text:Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient's blood can be modelled by: A(t) = te-kt %3D where time t > 0 is measured in hours, and where k is some positive constant. (a) Find all critical point(s) of the function A (where t > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point). You should answer with exact values, and your answers might depend on k.
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