Let Y be a random variable with a mean of 11 and variance 9. Using Chebyshev’s theorem to find the value of C such that P(|Y −11| ≥ C) ≤ 0.09.

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).