World consumption of a certain metal is running at the rate of 319e thousand metric tons per year, where t is measured in years and corresponds to 2014. (a) Find a formula for the total amount of the metal that will be consumed withint years of 2014. C(t) = (b) When will the known world resources of 4200 thousand metric tons of the metal be exhausted? (Round your answer up to the next 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.