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In the study of the spread of an illicit drug, the number of N of new users can be modelize by the formula N where c, k, a are positive numbers. = 1² c Find the expression of N in terms of c, k, a. -kt - e k e-at dt

In the study of the spread of an illicit drug, the number of N of new users can be modelize by the formula N where c, k, a are positive numbers. = 1² c Find the expression of N in terms of c, k, a. -kt - e k e-at dt

Calculus: Early Transcendentals
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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**Problem 9.** (a) In the study of the spread of an illicit drug, the number \( N \) of new users can be modeled by the formula \[ \frac{1}{N} = \int_{0}^{\infty} c \frac{1 - e^{-kt}}{k} e^{-at} dt \] where \( c, k, a \) are positive numbers. Find the expression of \( N \) in terms of \( c, k, a \).
Transcribed Image Text:**Problem 9.** (a) In the study of the spread of an illicit drug, the number \( N \) of new users can be modeled by the formula \[ \frac{1}{N} = \int_{0}^{\infty} c \frac{1 - e^{-kt}}{k} e^{-at} dt \] where \( c, k, a \) are positive numbers. Find the expression of \( N \) in terms of \( c, k, a \).
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