Results 1 to 2 of 2

Math Help - I m having trouble with numerical analysis. Please help!

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    home
    Posts
    2

    I m having trouble with numerical analysis. Please help!

    A drug administered to a patient produces a concentration in the blood stream given by c(t) = Ate-t/3 milligrams per milliliter, t hours after A units have been injected. The maximum safe concentration is 1 mg/mL.

    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 addictive and that 75% of the amount originally injected is administered in the second injection. When is it time for the third injection?
    Last edited by mathman90; February 20th 2013 at 06:14 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    10

    Re: I m having trouble with numerical analysis. Please help!

    For part a). you'd have to differentiate it and find an expression for it's stationary points (ie. it's maxima and minima).

    From there you know precisely what the maximum concentration is, so it's a substitution job.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Numerical analysis
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: January 16th 2011, 04:26 PM
  2. numerical analysis...
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: January 14th 2011, 10:51 AM
  3. Numerical analysis
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: March 15th 2010, 11:19 PM
  4. numerical analysis
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: November 7th 2009, 03:20 PM
  5. Numerical Analysis
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 1st 2009, 04:50 PM

Search Tags


/mathhelpforum @mathhelpforum