Question

The table shows how the average age of first marriage of Japanese women has varied since 1950. (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 of women in 1990. (d) Graph the data points and the models for $ A $ and $ A'. $

Name: Problem 28, Chapter 3: Calculus: Early Transcendentals
Uploaded: 2020-01-12T18:40:24-08:00
Duration: 4 min 33 s
Channel: Clarissa Noh
Description: The table shows how the average age of first marriage of Japanese women has varied since 1950. (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 of women in 1990. (d) Graph the data points and the models for A and A'.

   The table shows how the average age of first marriage of Japanese women has varied since 1950.
(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 of women in 1990.
(d) Graph the data points and the models for $ A $ and $ A'. $

Calculus: Early Transcendentals

James Stewart 8th Edition

Chapter 3, Problem 28

Instant Answer

Solved by Expert Clarissa Noh

01/12/2020

Step 1

The model we get is \[A(t)=-0.000003 t^{4}+0.000362 t^{3}-0.013289 t^{2}+0.221834 t+23.018878\] Show more…

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The table shows how the average age of first marriage of Japanese women has varied since 1950. (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 of women in 1990. (d) Graph the data points and the models for $ A $ and $ A'. $