55. Females in the work force Suppose the rate of change of the percent p of total U.S. workers who are female can be modeled by dp (1.38t + 64.1)2 2154.18 %3D dt percentage points per year, where t is the number of years past 1950. Year % Female Year % Female 950 29.6 2010 47.9 960 33.4 2015 48.3 970 38.1 2020 48.1 980 42.5 2030 48.0 45.2 2040 47.9 066 000 46.6 2050 47.9 ource: U.S. Census Bureau (a) Use integration and the data point for 2040 to find the function p(t) that models the percent of the work force that is female. (b) For selected years from 1950 and projected to 2050, the data in the table show the percent of total U.S. workers who are female. With t as the number of years past 1950, graph these data with the model found in part (a). (c) Comment on the model's fit to the data
55. Females in the work force Suppose the rate of change of the percent p of total U.S. workers who are female can be modeled by dp (1.38t + 64.1)2 2154.18 %3D dt percentage points per year, where t is the number of years past 1950. Year % Female Year % Female 950 29.6 2010 47.9 960 33.4 2015 48.3 970 38.1 2020 48.1 980 42.5 2030 48.0 45.2 2040 47.9 066 000 46.6 2050 47.9 ource: U.S. Census Bureau (a) Use integration and the data point for 2040 to find the function p(t) that models the percent of the work force that is female. (b) For selected years from 1950 and projected to 2050, the data in the table show the percent of total U.S. workers who are female. With t as the number of years past 1950, graph these data with the model found in part (a). (c) Comment on the model's fit to the data
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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