Aging baby boomers will put a strain on Social Security benefits unless Congress takes action. The Social Security benefits to be paid out from 2010 through 2040 are projected to be S(t) = 0.1375t2 + 0.5185t + 0.72    (0 ≤ t ≤ 3) where S(t) is measured in trillions of dollars and t is measured in decades, with t = 0 corresponding to 2010. (Round your answers to two decimal places.)   (a)What was the amount of Social Security benefits paid out in 2010? ?? $ trillions   (b) What is the amount of Social Security benefits projected to be paid out in 2040? ?? $ trillions

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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.