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Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as S-7.91t + 120.96t2 + 193.92t – 123.21 ( 45,544(0.8474) when 0.7 < t< 13 p(t) = %3D when 13 < t< 55 where p is measured in people and rate-of-change function -23.73t2 + 241.92t + 193.92 when 0.7

Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as S-7.91t + 120.96t2 + 193.92t – 123.21 ( 45,544(0.8474) when 0.7 < t< 13 p(t) = %3D when 13 < t< 55 where p is measured in people and rate-of-change function -23.73t2 + 241.92t + 193.92 when 0.7

Calculus: Early Transcendentals
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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Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as S-7.91t + 120.96t2 + 193.92t – 123.21 ( 45,544(0.8474) when 0.7 < t< 13 p(t) = %3D when 13 < t< 55 where p is measured in people and rate-of-change function -23.73t2 + 241.92t + 193.92 when 0.7 <t< 13 p'(t) = -7541.28(0.84745) when 13 < t< 55 where p' is measured in people per year. In both functions, t is the number of years since 1860.t (a) What was the average population of Aurora between 1863 and 1873? (Round your answer to the nearest integer.) реople (b) What what the average rate of change of the population of Aurora between 1863 and 1873? (Round your answer to two decimal places.) people per year
Transcribed Image Text:Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as S-7.91t + 120.96t2 + 193.92t – 123.21 ( 45,544(0.8474) when 0.7 < t< 13 p(t) = %3D when 13 < t< 55 where p is measured in people and rate-of-change function -23.73t2 + 241.92t + 193.92 when 0.7 <t< 13 p'(t) = -7541.28(0.84745) when 13 < t< 55 where p' is measured in people per year. In both functions, t is the number of years since 1860.t (a) What was the average population of Aurora between 1863 and 1873? (Round your answer to the nearest integer.) реople (b) What what the average rate of change of the population of Aurora between 1863 and 1873? (Round your answer to two decimal places.) people per year
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