The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can be approximated by the function g(t) = 15.18(1.047)', where t = 10 corresponds to the year 2010. (a) Find the amount of dry natural gas energy produced in 2015. (b) If the model continues to be accurate, project the amount of dry natural gas energy produced in 2022. (a) The amount of dry natural gas energy produced in 2015 was trillion cubic feet. (Round to the nearest hundredth as needed.) (b) If the model continues to be accurate, the amount of dry natural gas energy that will be produced in 2022 is trillion cubic feet. (Round to the nearest hundredth as needed.)

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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.