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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'. $

a) $A(t)=-0.000003 t^{4}+0.000362 t^{3}-0.013289 t^{2}+0.221834 t+23.018878$b) $A^{\prime}(t)=-0.000012 t^{3}+0.001086 t^{2}-0.026578 t+0.221834$c) about 0.11d) Graph Unavailable

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 7

Rates of Change in the Natural and Social Sciences

Derivatives

Differentiation

Campbell University

Oregon State University

Baylor University

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:56

Marriage age The graph sho…

01:18

The graph shows how the av…

0:00

04:27

Age of Marriage The follow…

00:49

Refer to the table. The ta…

02:11

The table shows the percen…

00:48

01:43

Marriage age 2010 Is there…

00:43

00:42

It's clear sailing rain here. So we're going to use a calculator to find and then we get a team is equal to naked in 00000 three t to the fourth plus 0.0 362 T x cube. You learn a syrah 0.1 3 to 8. Nine T square with 0.2 to 1 83 40. I was 23 come 01 e eight 70 for party. We're gonna find the derivative. You've been palatable, Josie. Quilting negative zero point Cyril Thereau throws Earl 12 He cute plus sirrah 0.1 Is there a girl? One through 8 60 square Munna zero point through, too. 6578 T plus 0.2 to 1 834 for it. See, we found a thief function and its derivatives. Were you gonna use the derivative function 40 when we get around 0.11 So the rate of change of first marriage increased by 0.11 in 1990 right, You're just gonna do a graph. So the x and Y access 2025. These are in intervals of five. In the graph we plot, it walks into this and then the derivative crap. Something like this

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Marriage age The graph shows how the average age of first marriage of Japane…

The graph shows how the average age of first marriage of Japanese men varied…

Age of Marriage The following table gives the median ageat their first m…

Refer to the table. The table gives the average ages (in years) for U.S. wom…

The table shows the percents $P$ of women in different age groups (in years)…

Marriage age 2010 Is there evidence that the age at which women get married …