A drug taken orally is absorbed into the bloodstream at the rate of te-0.5t milligrams per...
The amount of a drug, Q, in milligrams present in the bloodstream t hours since the drug was taken is Q = f ( t ). If f ( 2 ) = 90 and , f ′ ( 2 ) = − 15 respond in each part. Part I. Two hours after the drug is taken, the amount of drug present in the bloodstream is
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A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug in the bloodstream given by s- 20x17/7 280x17980x3/7 where x is in hours and 0 s x s7. Find the average number of milligrams of the drug in the bloodstream for the first 7 hours after a capsule is taken. (Round your answer to the nearest whole number.) mg
A drug manufacturer has developed a time-release capsule with the...
The number of milligrams D(f) of a drug in a patient's
bloodstream h hours after the drug is injected is modeled by the
following function.
The number of milligrams D (n) of a drug in a patient's bloodstream h hours after the drug is injected is modeled by the following function. D(n) = 20e-0.152 Find the initial amount injected and the amount in the bloodstream after 7 hours. Round your answers to the nearest hundredth as necessary. Initial amount: milligrams...
The number of milligrams D(h) of a drug in a patient's bloodstream h hours after the drug is injected is modeled by the following function. -0.2 D() - 20e Find the initial amount injected and the amount in the bloodstream after 7 hours. Round your answers to the nearest hundredth as necessary. Initial amount: milligrams Amount after 7 hours: milligrams $ ?
answer using u-substitution. The function is 0.5te^deltat
13. A specific drug dose was taken orally at != 0. The total amount of this drug dose removed from the body at time Tin hours) is 10.5re I do in units of milligrams. Find the amount of drug removed after 2 hours.
My Notes Ask Your Teacher 14. 0/1 points| Previous Answers BerrApCalc7 5.3.093. -0.04t milligrams per minute, where t is the number of minutes since the medication An oral medication is absorbed into the bloodstream at the rate of Se was taken. Find the total amount of medication absorbed within the first 40 minutes. (Round your answer to the nearest milligram.) X mg Need Help? Read ItTalk to a Tutor Submit Answer Save Progress Practice Another Version
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Chapter 9, Section 9.4, Question 013 The rate at which a drug leaves the bloodstream and passes into the urine is proportional to the quantity of the drug in the blood at that time. If an initial dose of Qo is injected directly into the blood, 27% is left in the blood after 4 hours. (a) Write and solve a differential equation for the quantity, Q. of the drug in the blood after t hours. Use k as the positive...
Using the drug absorption modeling problem from lecture, use the three‐state model (drug, body, and waste) to define the analytical expressions for the amount of drug that is (a) unabsorbed (D(t)), (b) in the body (B(t)), and (c) digested or metabolized (ܹW(t)) as a function of time. Use the following parameters: -Initial dose: 50 mg - Absorption rate: 0.025 min^-1 - Digestion rate: 0.005 min-1 - Metabolic rate: 0.015 min-1 Use MATLAB (or another programming method) to create a showing...
using Matlab: A drug administered to a patient produces a concentration in the bloodstream given by c(t)=Ate^(-t/3) milligrams per milliliter, t hours after A units have been injected. The maximum safe concentration is 1.00 mg/mL. What amount should be injected to reach this maximum safe concentration, and when does this maximum occur? (Use calculus to find the time when a maximum occurs. Then set c(tmax) = 1 to solve for A.) An additional amount of this drug is to be...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use...