With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a)    1984 and 2003  million per year (b)    2011 and 2029  million per year

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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.