   Chapter 2.R, Problem 9E

Chapter
Section
Textbook Problem

# Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2010. t P(t) 1950196019701980199020002010 31.135.734.028.025.725.724.0 (a) What is the meaning of P'{t) l What are its units? (b) Construct a table of estimated values for P'(t). (c) Graph P and P'. (d) How would it be possible to get more accurate values for P'{t) l

(a)

To determine

To explain: The meaning of P’(t) and its units

Explanation

P’(t) is derivative of P(t)

Derivative is rate of change of function.

Therefore, P’(t) ...

(b)

To determine

To construct: A table of estimated values for P’(t)

(c)

To determine

To draw: The graph of P and P’

(d)

To determine

To explain: how to find more accurate values for P’(t)

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