Question

If the amount of drug in a person's blood after t hours is f(t) = t/(t2...

If the amount of drug in a person's blood after t hours is f(t) = t/(t2 + 4), when will the drug concentration be the greatest?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
After a large number of drinks, a person has a blood alcohol level of 200 mg/dL...
After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deciliter). If the amount of alcohol in the blood decays exponentially, and after 2 hours, 162 mg/dL remain, find an exponential model for the person's blood alcohol level f(t) where t is the time in hours. HINT [See Example 2.] f(t) = Use your model to estimate the person's blood alcohol level after 4 hours. (Round your answer to one decimal place.)...
The concentration of a drug in body fluids depends on the time (t) elapsed after its...
The concentration of a drug in body fluids depends on the time (t) elapsed after its administration. Assume that after 4 hours, 60% of the drug remains in the body and that the amount of drug decreases exponentially. How much drug is left after 6 hours? How long should it take for only 10% of the drug to remain?
After a large number of drinks, a person has a blood-alcohol level of 200 mg/dL (milligrams...
After a large number of drinks, a person has a blood-alcohol level of 200 mg/dL (milligrams per deciliter). If the amount of alcohol in the blood decays exponentially, and after 2 hours, 72 mg/dL remain, find an exponential model for the person's blood-alcohol level f(t) where t is the time in hours. HINT [See Example 2.] f(t) = 72e−0.18t    Use your model to estimate the person's blood-alcohol level after 5 hours. (Round your answer to one decimal place.) 29.3...
Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8...
Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by the function below. A(t) = 0.2te−0.5t     (0 ≤ t ≤ 12) At how long (in hr) after drinking the alcohol is the percentage of alcohol in the person's bloodstream at its highest level? (Round your answer to two decimal places.) t = ___________- hr What is the level (in %)? (Round your answer to three decimal places.) _______________%...
Drug T was administered (iv) to a volunteer, and urine was collected after 60 minutes. The...
Drug T was administered (iv) to a volunteer, and urine was collected after 60 minutes. The concentration of T in urine was 10 mg/ml, and the volume of urine was 30 mls. Blood was drawn, and the concentration of T in plasma was determined to be 0.04 mg/ml.             a) Calculate the renal clearance of T.             b) Based on the answer you calculated for part a, what mechanism(s) are involved in renal clearance of T?  
laplace transforms -convolution if f(t)= t2 - e-t and g(t) =t find (f * g) (t)
laplace transforms -convolution if f(t)= t2 - e-t and g(t) =t find (f * g) (t)
Suppose f(x,y) is a function for which ∇f(15,2) = <6, -3>. Suppose g(t) = f(t2-1, sqrt(t))....
Suppose f(x,y) is a function for which ∇f(15,2) = <6, -3>. Suppose g(t) = f(t2-1, sqrt(t)). Find g'(4).
Suppose that the concentration C of a medication in the bloodstream t hours after an injection...
Suppose that the concentration C of a medication in the bloodstream t hours after an injection is given by C(t) = 0.4t / t^2 + 4 . (a) Determine the number of hours before C attains its maximum   (b) Find the maximum concentration.
A certain drug is eliminated from the bloodstream with a half-life of 36 hours. Suppose that...
A certain drug is eliminated from the bloodstream with a half-life of 36 hours. Suppose that a patient received an initial dose of 30 mg of the drug at midnight. a) How much of the drug is in the patient's blood at noon later that day? b) When will the drug concentration reach 15% of its initial level?
The speed with which a drug spreads in the bloodstream is governed by the differential equation,...
The speed with which a drug spreads in the bloodstream is governed by the differential equation, dX/dt=a-bX where a and b are positive constants. The function X (t) describes the amount of the drug in the bloodstream at an instant t. Find the limit value of X (t) when t goes to infinity. How long does the concentration of the drug take to reach half of this limit concentration? Assume that at time t = 0 the amount of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT