Homework Help is Here – Start Your Trial Now!
Math
Calculus
If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's -0.0123t bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯ where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose? Round to 1 decimal place. mg b. How long will it take 4 mg to decay to 2 mg in a person's bloodstream? Round to 2 decimal places. hours c. At what rate is the amount of Valium in a person's bloodstream decaying 6 hours after a 4-mg dose is taken. Round to 3 decimal places. A' (6) = mg/hr

If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's -0.0123t bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯ where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose? Round to 1 decimal place. mg b. How long will it take 4 mg to decay to 2 mg in a person's bloodstream? Round to 2 decimal places. hours c. At what rate is the amount of Valium in a person's bloodstream decaying 6 hours after a 4-mg dose is taken. Round to 3 decimal places. A' (6) = mg/hr

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
See similar textbooks
icon
Related questions
Question
If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's -0.0123t bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯` where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose? Round to 1 decimal place. mg b. How long will it take 4 mg to decay to 2 mg in a person's bloodstream? Round to 2 decimal places. hours c. At what rate is the amount of Valium in a person's bloodstream decaying 6 hours after a 4-mg dose is taken. Round to 3 decimal places. A' (6) mg/hr
Transcribed Image Text:If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's -0.0123t bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯` where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose? Round to 1 decimal place. mg b. How long will it take 4 mg to decay to 2 mg in a person's bloodstream? Round to 2 decimal places. hours c. At what rate is the amount of Valium in a person's bloodstream decaying 6 hours after a 4-mg dose is taken. Round to 3 decimal places. A' (6) mg/hr
Expert Solution
steps

Step by step

Solved in 5 steps with 19 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS