Suppose that the density of cars (in cars per mile) down a 20-mile stretch of the Pennsylvania Turnpike is approximated by(x)=250(2+sin(4x+0.2)),

(x)=250(2+sin(4x+0.2)),at a distancexmiles from the Breezewood toll plaza. Sketch a graph of this function for0 x 20

(a)Complete the Riemann sum that approximates the total number of cars on this 20-mile stretch (useDxinstead ofx):

Number =...

(b)Find the total number of cars on the 20-mile stretch.

Number =