A drug administered to a patient produces a concentration in the blood stream given by c (t) = Ate/3 milligrams per milliliter, t hours after A units have been injected. The maximum safe concentration is 1 mg/mL. You can choose the root-finding method to use. a. What amount should be injected to reach this maximum safe concentration, and when does this maximum occur? b. An additional amount of this drug is to be administered to the patient after the concentration falls to 0.25 mg/mL. Determine, to the nearest minute, when this second injection should be given. c. Assume that the concentration from consecutive injections is additive and that 75% of the amount originally injected is
A drug administered to a patient produces a concentration in the blood stream given by c (t) = Ate/3 milligrams per milliliter, t hours after A units have been injected. The maximum safe concentration is 1 mg/mL. You can choose the root-finding method to use. a. What amount should be injected to reach this maximum safe concentration, and when does this maximum occur? b. An additional amount of this drug is to be administered to the patient after the concentration falls to 0.25 mg/mL. Determine, to the nearest minute, when this second injection should be given. c. Assume that the concentration from consecutive injections is additive and that 75% of the amount originally injected is
Mathematics For Machine Technology
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Subject: Numerical method and analysis
Transcribed Image Text:A drug administered to a patient produces a concentration in the blood
stream given by c (t) = Ate/3 milligrams per milliliter, t hours after
A units have been injected. The maximum safe concentration is 1
mg/mL. You can choose the root-finding method to use.
a. What amount should be injected to reach this maximum safe
concentration, and when does this maximum occur?
b. An additional amount of this drug is to be administered to the
patient after the concentration falls to 0.25 mg/mL. Determine, to
the nearest minute, when this second injection should be given.
c. Assume that the concentration from consecutive injections is
additive and that 75% of the amount originally injected is
administered in the second injection. When is it time for the third
injection?
The use of Microsoft Excel to present calculations for each iteration is
highly encouraged.
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