Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as (-7.913 + 120.96t2 + 193.92t – 123.21 (45,544(0.8474*) when 0.7 s ts 13 p(t) = when 13

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Concept explainers
Topic Video
Question
Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as
(-7.913 + 120.96t2 + 193.92t – 123.21
(45,544(0.8474*)
when 0.7 s ts 13
p(t) =
when 13 <ts 55
where p is measured in people and rate-of-change function
-23.73t2 + 241.92t + 193.92
when 0.7 s t< 13
p'(t) =
7-7541.28(0.8474*)
when 13 < ts 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.)
people
(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 (-7.913 + 120.96t2 + 193.92t – 123.21 (45,544(0.8474*) when 0.7 s ts 13 p(t) = when 13 <ts 55 where p is measured in people and rate-of-change function -23.73t2 + 241.92t + 193.92 when 0.7 s t< 13 p'(t) = 7-7541.28(0.8474*) when 13 < ts 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.) people (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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,