Find    F/ (x) (2x+3) (x+1)

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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  1. Find    F/ (x) (2x+3) (x+1)

 

a. A statistician used data to construct the model below

             S(t)-21Ln t+2

      where S(t) is the number of cable TV subscribers (in millions) in year t .

      t=0 corresponds to 1980.

                 Use this model to estimate the following

The number of cable TV subscribers in 2015

S(t)=21Ln t+2

= 21[3.56]+2

= 76.76

 

 

b. The rate of change of the number of subscribers in 2015. Interpret this result.

DY/DX= S(t)= 21Ln t+2

=   21[1/T]+2

     21[1/35]+2

     21[0.0286]+2

        0.6006+2= 2.6006

                

 

 

 

 

 

 

 

 

 

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