During a snowstorm, a meteoroiogist tracks the amount of accumulating snow. For the first three hours of the storm, the snow fell at a constant rate of one inch per hour. The storm then stopped for two hours and then started again at a constant rate of one-haif inch per hour for the next four hours Create a graph of the situation. Write a piecewise function that models the depth of the snow as a function of time When wil the depth of the snow be 4 inches? How much snow wil there be on the ground ater 4 hours?

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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.