Based on the logistic function found in part a, what is the carrying capacity of this country? Round to nearest thousand. Find the values for \( a \), \( b \), and \( c \) in a logistic model of the form:\[ y = \frac{c}{1 + a e^{-bx}} \]- \( a = 1.56349 \times 10^{14} \) (Use scientific notation. Round to five decimal places as needed.)- \( b = 0.0160 \) (Round to four decimal places as needed.)- \( c = 799470722.4 \) (Round to one decimal place as needed.) **United States Population Growth (1900-2000)**This table presents the population of the United States from 1900 to 2000, recorded every decade.| Year (x) | Population (y) ||----------|----------------|| 1900 | 76,212,000 || 1910 | 92,228,000 || 1920 | 106,022,000 || 1930 | 123,203,000 || 1940 | 132,165,000 || 1950 | 151,326,000 || 1960 | 179,323,000 || 1970 | 203,302,000 || 1980 | 226,542,000 || 1990 | 248,710,000 || 2000 | 281,422,000 |### Analysis:- **Growth Trend**: The population consistently increased each decade.- **Significant Growth**: The largest increase can be observed between 1950 and 1960.- **Overall Change**: From 1900 to 2000, the population grew by over 200 million.This data is essential for understanding demographic changes and can serve as a foundation for further analysis on economic, social, and political impacts.

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Find the values for a, b and c in a logistic model of the form y= 1+ae-bx a= 1.56349 10 (Use scientific notation. Round to five decimal places as needed.) b= 0.0160 (Round to four decimal places as needed.) C= 799470722.4

Find the values for a, b and c in a logistic model of the form y= 1+ae-bx a= 1.56349 10 (Use scientific notation. Round to five decimal places as needed.) b= 0.0160 (Round to four decimal places as needed.) C= 799470722.4

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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