The population of a southern city follows the exponential law. Use this information to answer parts a and b T (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No en kt (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The population of a southern city follows the exponential law. Use this information to answer parts a and b.
(a) If N is the population of the city and t is the time in years, express N as a function of t
N(t)= No e
(Type an expression using t as the variable and in terms of e.)
(b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now?
kt
The population will be approximately people.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
Transcribed Image Text:The population of a southern city follows the exponential law. Use this information to answer parts a and b. (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No e (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? kt The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
Expert Solution
Step 1: Introduction of the given problem

Given exponential function N open parentheses t close parentheses equals N subscript 0 e to the power of k t end exponent

The population get doubled in 30 month. The current population is 40 comma 000

We have to find the population after 3 year.

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