2. The decay of a certain substance is modelled by the function N(t) = 100 (2.7) ¹/320, where the number of particles is represented by N in a time of t hours. [A/8] a) What is the number of particles after 3 hours for this substance? Give an exact value. b) Determine the rate of change in the number of particles at 3 hours. Give an exact value.
2. The decay of a certain substance is modelled by the function N(t) = 100 (2.7) ¹/320, where the number of particles is represented by N in a time of t hours. [A/8] a) What is the number of particles after 3 hours for this substance? Give an exact value. b) Determine the rate of change in the number of particles at 3 hours. Give an exact value.
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...
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Question
![2. The decay of a certain substance is modelled by the function
N(t) = 100 (2.7) ¹/320, where the number of particles is represented by N in a
time of t hours.
[A/8]
a) What is the number of particles after 3 hours for this substance? Give an exact
value.
b) Determine the rate of change in the number of particles at 3 hours. Give an exact
value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7d56345-9597-4261-b4a5-606abfcdce46%2F371babd0-e23f-4545-b81f-768f1a9b9cad%2Fy0u029l_processed.png&w=3840&q=75)
Transcribed Image Text:2. The decay of a certain substance is modelled by the function
N(t) = 100 (2.7) ¹/320, where the number of particles is represented by N in a
time of t hours.
[A/8]
a) What is the number of particles after 3 hours for this substance? Give an exact
value.
b) Determine the rate of change in the number of particles at 3 hours. Give an exact
value.
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