The rate of crude oil production from 2009 to 2013 by Pemex, Mexico's national oil company, can be approximated by q(t) = 6.2t2 - 146t + 1,910 million barrels per year (9 sts 13), where t is time in years since the start of 2000.t During that time, Mexico exported crude oil to the United States at a rate of r(t) = -14t2 + 292t – 1,100 million barrels per year (9st s 13).† Compute the area shown in the graph. (Round your answer to the nearest whole number.) 1200 y y = 6.2 t² – - 146 t + 1910 1000 800 600 400 y =-14 t + 292 t – 1100 200 9 10 11 12 13 Years since 2000 Interpret the answer. Mexico produced but did not export million barrels of oil to the U.S. from the year to the year Millions of barrels of oil

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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.