3. In 2008, the University of Central Florida was the sixth largest university in the country. Thenumber of students can be modeled by the function f(t) = 50,000/( 1 + 5e012), where t is thetime in years and t = 0 corresponds to 1970.(a) How many students attended UCF in 1990?(b) How many students attended UCG in 2000?(c) What is the carrying capacity of the UCF main campus?

Answered: Image /qna-images/answer/3a03cd1d-6aed-409f-81cd-e13450317d90.jpg

Answered: In 2008, the University of Central…

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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Imagine that COVID-19 had spread exponentially in Maine since the first case (on March 12). Using the model f(t)=A02t/d with A0=1 and t= number of days since March 12, find D with the knowledge that there were 7,603 total cases on Nov. 7, 240 days after March 12.
In 2011, the population of Canada was about 34.34 million. For the years 2011 through 2021, the population is projected to grow at a rate of about 1.1% per year. (a) Find a formula for an exponential function that gives the population of Canada. (Let N be the population in millions and t be the number of year since 2011.) N(t) = (b) Express, using functional notation, the population of Canada in 2017. NO Calculate that value. (Round your answer to two decimal places.) million (c) Use the function you found in part (a) to predict when the population of Canada will reach 37.5 million. (Round your answer to two decimal places.) years after 2011

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