The density of cars in cars per mile down a 20-mile stretch

Question

Question: The density of cars (in cars per mile) down a 20-mile stretch of the Pennsylvania Turnpike is approximated by

δ(x) = 300 (2 + sin(4√(x + 0.15)),

at a distance x miles from the Breeze wood toll plaza.

(a) Sketch a graph of this function for 0 ≤ x ≤ 20.

(b) Write a Riemann sum that approximates the total number of cars on this 20-mile stretch.

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