Miguel and his friends are going to a carnival in town. the carnival organizers expect 6,000 people to attend the three-day carnival. at the end of the carnival, the organizers say that they have exceeded their expected attendance by 1,500 people. determine the average number of people that attended the carnival per day.

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).