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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Section
BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

The table shows how the average age of first marriage of Japanese women has varied since 1950.

t
A(t)
1955
1965
23.0
23.8
1960 24.4
1965 24.5
1970 24.2
1975 24.7
1980 25.2
1985 25.5
1990 25.9
1995 26.3
2000 27.0
2005 28.0
2010 28.8

(a) Use a graphing calculator or computer to model these data with a fourth-degree polynomial.

(b) Use part (a) to find a model for A′(t).

(c) Estimate the rate of change of marriage age for women in 1990.

(d) Graph the data points and the models for A and A′.

To determine

Part (a)

To use: a graphing calculator to model these data with a fourth-degree polynomial.

Explanation

Enter all data in to calculator using “Stat”-EDIT...

To determine

Part (b)

To find: model for A'(t).

To determine

Part (c)

To estimate: the rate of change of marriage age for women in 1990.

To determine

Part (d)

To graph: the data points and the models for A and A’.

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