Oscillating Spring A mass attached to a spring oscillates upward and downward. Thelength L of the spring after t seconds is given by the function L = 8 - 2 cos (4pt),where L is measured in inches a. Sketch the graph of this function for 0 <= t <= 3.b. What is the length of the spring when it is at equilibrium?c. What is the length of the spring when it is shortest?d. What is the length of the spring when it is longest?

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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.