An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected​ city, the marketing research department estimates that the sales​ (in millions of​ dollars) will increase at the monthly rate of the following function for t months after the campaign has started.   S′(t)=18−13e−0.1t                     0≤t≤21

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected​ city, the marketing research department estimates that the sales​ (in millions of​ dollars) will increase at the monthly rate of the following function for t months after the campaign has started.
 
S′(t)=18−13e−0.1t                     0≤t≤21
 
 
 

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Part 1
​(A) What will be the total​ sales, S(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the​ campaign?
An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing
the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will
increase at the monthly rate of the following function for t months after the campaign has started.
S'(t) = 18-13 e
- 0.1t
0≤t≤21
(A) What will be the total sales, S(t), t months after the beginning of the national sales campaign if we assume no sales
at the beginning of the campaign?
S(t) =
Transcribed Image Text:An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 18-13 e - 0.1t 0≤t≤21 (A) What will be the total sales, S(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the campaign? S(t) =
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