A factory is dumping pollutants into a river at a rate given by  dx/dt = t3/4/100  tons per week, where t is the time in weeks since the dumping began and x is the number of tons of pollutants. (a) Find the equation for total tons of pollutants dumped. x(t) =     (b) How many tons were dumped during the first year? (Round your answer to two decimal places.) tons

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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.