17. The decay of a certain substance is modelled by the function N(t) 100(3+e), where the number of particles is represented by N in a time of t hours. a. What is the initial number of particles? b. Determine the rate of change in the number of particles at time t. c. How fast is the number of particles changing when t= 3 hours?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
icon
Related questions
Question
Do n
to
17. The decay of a certain substance is modelled by the function N(t) = 100(3+ e ), where the number of particles is
represented by N in a time of t hours.
a. What is the initial number of particles?
b. Determine the rate of change in the number of particles at time t.
c. How fast is the number of particles changing when t = 3 hours?
%3D
Transcribed Image Text:Do n to 17. The decay of a certain substance is modelled by the function N(t) = 100(3+ e ), where the number of particles is represented by N in a time of t hours. a. What is the initial number of particles? b. Determine the rate of change in the number of particles at time t. c. How fast is the number of particles changing when t = 3 hours? %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning