Chapter 5: Q. 105 (page 286)

Drug Medication The function
$D (h) = 5 e^{- 0.4 h}$
can be used to find the number of milligrams of a certain drug that is in a patient's bloodstream hours after the drug has been administered. How many milligrams will be present after 1 hour? After 6 hours?

Short Answer

Expert verified

$D (1) = 0.35 m g D (6) = 0.45 m g$

Step by step solution

Step 1.Given information

Given drug medication function

$D (h) = 5 e^{- 0.4 h}$

Step 2.Determine the value of D(1)

Substitute 1 for h in the given function.

$D (1) = 5 e^{(0.4) 1} = 5 e^{0.4} = 5 (0.6703) = 3.35$

So, a patient's bloodstream will have $3.35 m m$ of the drug after 1 hour.

Step 3.Determine the value of D(6)

Replace h with 6 in the given function.

$D (6) = 5 e^{(0.4) 6} = 5 e^{- 2.4} = 5 (0.0907) = 0.45$

Therefore, $0.45 m g$ of the drug will be present in a patient's bloodstream after 6 hours.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Drug Medication The function
$D (h) = 5 e^{- 0.4 h}$
can be used to find the number of milligrams of a certain drug that is in a patient's bloodstream hours after the drug has been administered. How many milligrams will be present after 1 hour? After 6 hours?

Short Answer

Step by step solution

Step 1.Given information

Step 2.Determine the value of D(1)

Step 3.Determine the value of D(6)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Calculus

Decision Maths

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Drug Medication The functionD(h)=5e-0.4hcan be used to find the number of milligrams of a certain drug that is in a patient's bloodstream hours after the drug has been administered. How many milligrams will be present after 1 hour? After 6 hours?

Short Answer

Step by step solution

Step 1.Given information

Step 2.Determine the value of D(1)

Step 3.Determine the value of D(6)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Calculus

Decision Maths

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Drug Medication The function
$D (h) = 5 e^{- 0.4 h}$
can be used to find the number of milligrams of a certain drug that is in a patient's bloodstream hours after the drug has been administered. How many milligrams will be present after 1 hour? After 6 hours?