The population of Metropolis was 4 million at the start of the year 2000 and can be given by the function P left parenthesis t right parenthesis equals 4 e to the power of 0.075 t end exponent where t is time in years since 2000 and P left parenthesis t right parenthesis is in millions. By how much is the population accelerating or decelerating in 2020

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A: The given expression

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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.