The population of a certain state (in thousands) from 1995 (tequals 0) to 2005 (tequals 10) is modeled by the polynomial p(t)equals minus0.36tsquaredplus104tplus6612 . a. Determine the average growth rate from 1995 to 2005 . b. What was the growth rate for this state in 1998 (tequals 3) and 2005 (tequals 10)? c. Use a graphing utility to graph p prime for 0less than or equals tless than or equals10. What does this graph tell you about population growth in this state during the period of time from 1995 to 2005 ?
The population of a certain state (in thousands) from 1995 (tequals 0) to 2005 (tequals 10) is modeled by the polynomial p(t)equals minus0.36tsquaredplus104tplus6612 . a. Determine the average growth rate from 1995 to 2005 . b. What was the growth rate for this state in 1998 (tequals 3) and 2005 (tequals 10)? c. Use a graphing utility to graph p prime for 0less than or equals tless than or equals10. What does this graph tell you about population growth in this state during the period of time from 1995 to 2005 ?
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...
Related questions
Question
The population of a certain state (in thousands) from 1995
(tequals
0)
to 2005
(tequals
10)
is modeled by the polynomial p(t)equals
minus0.36tsquaredplus104tplus6612
.
a.
Determine the average growth rate from 1995
to 2005
.
b.
What was the growth rate for this state in 1998
(tequals
3)
and 2005
(tequals
10)?
c.
Use a graphing utility to graph p prime
for 0less than or equals
tless than or equals10.
What does this graph tell you about population growth in this state during the period of time from 1995
to 2005
?
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