Question 2 A patient takes d mg of medicine every 8 hours. Every 8 hours, 80% of the medicine in the patient'sbloodstream is eliminated. The medicine has side effects if there is ever 15 mg or more in the patient'sblood, but there needs to be at least 2 mg in the patient's blood for it to be effective.(a) What is the maximum safe value for d? (Hint: Consider An, the amount of medicine in thepatient's blood immediately after taking the nth dose, and think about what must be true aboutAn to ensure a safe dosing schedule. Write out very carefully what A1, A2, Az are before tryingto find a pattern for An.)(b) What is the minimum effective value for d? (Hint: Consider Bn, the amount of medicine in thepatient's blood immediately before taking the nth dose.)

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Answered: 2 A patient takes d mg of medicine…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. The half-life of caffeine is 5 hours. If you drink coffee with 200mg of caffeine, how much caffeine will be in your system in 12 hours? Show work to support your answer.
Suppose: • The vat contains 270 gallons of liquid, which • • . never changes. Sugar water with a concentration of 10 tablespoons/gallon flows through pipe A into the vat at the rate of 30 gallons/minute. Sugar water with a concentration of 8 tablespoons/gallon flows through pipe B into the vat at the rate of 35 gallons/minute. • The liquid in the vat is kept well-mixed. Sugar water leaves the vat through pipe C at the rate of 65 gallons/minute. Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes. (A) Write the DE model for the time rate of change of sugar in the vat: dS dt (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 32 tablespoons of sugar in the vat at t = present 4 minutes later? 0. How many tablespoons will be tablespoons
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Sodium Pentathol Elimination Ed is undergoing surgery for an old football injury and must be anesthetized. The anesthesiologist knows Ed will be "under" when the concentration of sodium pentathol in his blood is at least 50 milligrams per kilogram of body weight. Suppose that Ed weighs 1 00 kg (220 pounds) and that sodium pentathol is eliminated from the bloodstream al a ra1e proponional 10 lhe amount present. If the half-life of 1he drug is 10 hours, whal single dose should be given to keep Ed anesthetized for three hours?
the sales revenue of a new mobile phone model is found to follow an AR(1) process, as shown below. what is the 3-lag AČF value? Xt =0.7*xt-1+Wt 0.700 .0.343 0.490 0.240
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