Let the function C represent the drug concentration in mg/ml of a certain drug at the time t (in hours) after the drug is given. Suppose that C is given by C=16.2te^−0.25t Graph this curve on your graphing calculator.   For questions (1) and (2), use your calculator's zoom and trace functions to get a good estimate of the answer. Then use your calculator to compute the value of C for your estimate and for nearby values of t until you find the value of t (to 2 decimal places) that gives the closest value of C to the desired value. Your calculator's 2nd-Entry key will be useful for rapidly computing values of C for different values of t. (1) The minimum effective concentration for this drug is 10 ng/ml. What is the time of onset of effectiveness? (Round your answer to 2 decimal places.)    _________________________________ (2) What is the time of termination of effectiveness? (Round your answer to 2 decimal places.)      _________________________________ (3) If you want the onset of the effectiveness of the second dose to coincide with the termination of the effectiveness of the first dose, when should the second dose be given? (Ignore the additive effects of the two doses.) (Round your answer to 2 decimal places.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Let the function C represent the drug concentration in mg/ml of a certain drug at the time t (in hours) after the drug is given. Suppose that C is given by

C=16.2te^−0.25t

Graph this curve on your graphing calculator.

 

For questions (1) and (2), use your calculator's zoom and trace functions to get a good estimate of the answer. Then use your calculator to compute the value of C for your estimate and for nearby values of t until you find the value of t (to 2 decimal places) that gives the closest value of C to the desired value. Your calculator's 2nd-Entry key will be useful for rapidly computing values of C for different values of t.

(1) The minimum effective concentration for this drug is 10 ng/ml. What is the time of onset of effectiveness? (Round your answer to 2 decimal places.)
  

_________________________________



(2) What is the time of termination of effectiveness? (Round your answer to 2 decimal places.)
  

 

_________________________________


(3) If you want the onset of the effectiveness of the second dose to coincide with the termination of the effectiveness of the first dose, when should the second dose be given? (Ignore the additive effects of the two doses.) (Round your answer to 2 decimal places.)

___________________________________

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,