Answered: 5. Previously we used the recurrence… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 57EQ

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5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, di = 200 and the assumption
that d, L to compute the limiting value. Compute L is this way and compare to your
%3D
answer in 4.

Let us revisit a question from a few problem sets ago with slightly different numbers. A patient
takes 200 mg of an antibiotic every 6 hours. The half-life of the drug (the time it takes for half
of the drug to be eliminated from the blood) is 6 hours. Let dn denote the amount (in mg) of
medication in the bloodstream after n doses, where dı = 200.
1. Explain why dn+1 = 0.5dn + 200, d1 = 200 is the correct recurrence relation.

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