(a) Write a function of the form P(1) - Pe to model each population P() (in millions) / years after January 1, 2000. Round the value of & to five decimal places. Country Population in 2000 (millions) Congo Turkey 50 67.4 Population in 2010 (millions) 66 73.7 P(t)=Pet P()) = I P(1) = e X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Write a function of the form P (t) = Poet to model each population P (t) (in millions) / years after January 1, 2000. Round the value of k to five
kt
decimal places.
Country
Congo
Turkey
Population
in 2000
(millions)
50
67.4
Population
in 2010
(millions)
66
73.7
P (t) = Pekt
P(1) = I
0
P (t) =
e
X
S
Transcribed Image Text:(a) Write a function of the form P (t) = Poet to model each population P (t) (in millions) / years after January 1, 2000. Round the value of k to five kt decimal places. Country Congo Turkey Population in 2000 (millions) 50 67.4 Population in 2010 (millions) 66 73.7 P (t) = Pekt P(1) = I 0 P (t) = e X S
(b) Use the models from part (a) to approximate the population on January 1, 2020, for each country. Round to the nearest hundred thousand.
Australia had fewer people than Taiwan in the year 2000, yet from the result of part (b), Australia would have more people in the year 2020? Why?
The population of Australia on January 1, 2020, would reach AV
The population of Taiwan on January 1, 2020, would reach
million.
million.
Australia would have more people than Taiwan in the year 2020 because the (Choose one)
for Australia than for Taiwan.
▼ is (Choose one) ▼
X
S
Transcribed Image Text:(b) Use the models from part (a) to approximate the population on January 1, 2020, for each country. Round to the nearest hundred thousand. Australia had fewer people than Taiwan in the year 2000, yet from the result of part (b), Australia would have more people in the year 2020? Why? The population of Australia on January 1, 2020, would reach AV The population of Taiwan on January 1, 2020, would reach million. million. Australia would have more people than Taiwan in the year 2020 because the (Choose one) for Australia than for Taiwan. ▼ is (Choose one) ▼ X S
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