Suppose that a company's profit function over time is P(x) = - 0.4a + 5a? + 10 thousand dollars, %3D where x is the number of years since the end of 2010. So, for example, x = 2 corresponds to the end of 2012, and x = 2.1 corresponds to the beginning of 2013.) The point of diminishing returns is a = (Give your answer as a fraction or as a decimal with at least 3 decimal places.) This corresponds to the year

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A: NOTE: Refresh your page if you can't see any equations. .

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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.