A taxi has an initial charge of $2.50 and then $0.40 cents per additional one fifth (⅕ or 0.2) of a mile. Will the graph of the number of miles ridden in a taxi versus the cost to ride in a taxi be discrete or continuous? Explain how you know!

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).