Production of Steam Coal In keeping with the projected increase in worldwide demand for steam coal, the boiler- firing fuel used for generating electricity, the management of Consolidated Mining has decided to step up its mining operations. Plans call for increasing the yearly production of steam coal according to the function below. The function is in million metric tons/year for the next 20 years. 3te-0.02t The current yearly production is 18 million metric tons. Find a function that describes Consolidated's total production of steam coal at the end of t years. P(t) = How much coal will Consolidated have produced over the next 20 years if this plan is carried out? (Enter your answer in million metric tons. Round your answer to the nearest integer.) X million metric tons

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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.