If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A(t) 0.0125t 10e where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after takıng a 10-mg dose? Round to 1 decimal place. mg b. How long will it take 10 mg to decay to 5 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 5 hours after a 10-mg dose is taken. Round to 3 decimal places. A' (5)= mg/hr

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's
bloodstream at any time can be modeled with the exponential decay function A(t) 10e 25t where t is in
hours.
a. How much Valium remains in the person's bloodstream 6 hours after taking a 10-mg dose? Round to 1
decimal place.
mg
b. How long will it take 10 mg to decay to 5 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 5 hours after a 10-mg dose is
taken. Round to 3 decimal places.
A' (5) =
mg/hr
Transcribed Image Text:If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A(t) 10e 25t where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 10-mg dose? Round to 1 decimal place. mg b. How long will it take 10 mg to decay to 5 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 5 hours after a 10-mg dose is taken. Round to 3 decimal places. A' (5) = mg/hr
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning