Explanation Given information: The population of a city is 50,000 in 2014 and is growing at a continuous rate of 4.5% per year. Calculation: The population of a city is 50,000 in 2014 and is growing at a continuous rate of 4.5% per year. Exponential function of growth model is written as below. P ( t ) = P ∘ e k t Substitute 500000 for P ∘ in above function. P ( t ) = 50000 e k t ...... ( 1 ) Here, k is growth rate per year To determine (b) To evaluate: The population in 2020. To determine (c) To calculate: The time when the population reaches 1,00,000.

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 1.6, Problem 48P

To determine

(a)

To evaluate:

The population of the city as a function of the number of years since 2014 with the initial population of 50,000 at a continuous growth rate of 4.5% per year. also sketch the graph of it.

To determine

(b)

To evaluate:

The population in 2020.

To determine

(c)

To calculate:

The time when the population reaches 1,00,000.

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Chapter 1.6, Problem 47P

Chapter 1.6, Problem 49P

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2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.006.MI. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 7y2 y² 11 dy Need Help? Read It Master It SUBMIT ANSWER 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.009. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) tan³(12/z) dz Need Help? Read It Watch It SUBMIT ANSWER 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.014. Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sinб12x dx Need Help? Read It

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y"-9y+20y= 80t-156 y(0) = −6, y'(0) = 5 y(t) =

Chapter 1 Solutions

APPLIED CALCULUS (WILEY PLUS)

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(a) To evaluate: The population of the city as a function of the number of years since 2014 with the initial population of 50,000 at a continuous growth rate of 4.5% per year. also sketch the graph of it.

Solution Summary: The author evaluates the growth rate of a city, based on the number of years since 2014. The graph of the population against time is shown in figure 1.

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(a) To evaluate: The population of the city as a function of the number of years since 2014 with the initial population of 50,000 at a continuous growth rate of 4.5% per year. also sketch the graph of it.

(b) To evaluate: The population in 2020.

(c) To calculate: The time when the population reaches 1,00,000.

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Chapter 1 Solutions

(a)

To evaluate:

The population of the city as a function of the number of years since 2014 with the initial population of 50,000 at a continuous growth rate of 4.5% per year. also sketch the graph of it.

(b)

To evaluate:

The population in 2020.

(c)

To calculate:

The time when the population reaches 1,00,000.