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.NOCalculate 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

Given Data: Let us consider the given data, Population in 2011 =34.34 million. Growth rate r=1.1%.

Answered: In 2011, the population of Canada was…

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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A national census bureau predicts that a certain population will increase from 35.3 million in 2000 to 64.3 million in 2060. Complete parts (a) through (c) below. (a) Find an exponential function of the form f(t) = y₁b¹ for these data, in which t= 0 corresponds to 2000 and f(t) is in millions. f(t) (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) (b) What is the projected population in 2030? In 2040? = In 2030, the population is projected to be (Round to one decimal place as needed.) million. million. In 2040, the population is projected to be (Round to one decimal place as needed.) (c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed 56 million. The first full year in which the population will exceed 56 million is
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