Warfarin is a medication that is used long-term to prevent stroke in patients with artificial heart values. The amount of medication in a patients body at time t can be modelled by the discrete-time dynamical system M1+1 = 0.75M +D where t is measured in days and D > O is the daily prescribed dose of medication. (a) Find the equilibrium point of the system in terms of the parameter D. Show your work, including your final answer on Crowdmark. (b) True or False: the stability of this equilibrium point depends on the value of D. Select an answer below and justify your selection with a full sentence on Crowdmark. (c) True or False: If D = 2 and Mo = 12, then the amount of medication in the patient's body is decreasing as a function of time.
Warfarin is a medication that is used long-term to prevent stroke in patients with artificial heart values. The amount of medication in a patients body at time t can be modelled by the discrete-time dynamical system M1+1 = 0.75M +D where t is measured in days and D > O is the daily prescribed dose of medication. (a) Find the equilibrium point of the system in terms of the parameter D. Show your work, including your final answer on Crowdmark. (b) True or False: the stability of this equilibrium point depends on the value of D. Select an answer below and justify your selection with a full sentence on Crowdmark. (c) True or False: If D = 2 and Mo = 12, then the amount of medication in the patient's body is decreasing as a function of time.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please solve this problem, part b and c is true or false.

Transcribed Image Text:Warfarin is a medication that is used long-term to prevent stroke in patients with artificial heart values. The
amount of medication in a patients body at time t can be modelled by the discrete-time dynamical system
M+1 = 0.75M; + D
where t is measured in days and D > 0 is the daily prescribed dose of medication.
(a) Find the equilibrium point of the system in terms of the parameter D.
Show your work, including your final answer on Crowdmark.
(b) True or False: the stability of this equilibrium point depends on the value of D. Select an answer below and
justify your selection with a full sentence on Crowdmark.
(c) True or False: If D = 2 and Mo = 12, then the amount of medication in the patient's body is decreasing as a
function of time.
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