A function of the form P(t) =ab' represents the population (in millions) of the given country t years after January 1, 2000. %3D Part: 0/2 Part 1 of 2 kt (a) Write an equivalent function using base e; that is, write a function of the form P(t) = Pge“. Also, determine the population of each country for the year 2000. Round the population to the nearest hundred thousand. P() =Pe Population in 2000 (millions) Country P(t) =ab' Australia P() = 19.0(L0175) P(t) = %3D Talwan P) - 229(1.0034) P(t) = %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.