Question

(1 point) Suppose that the density of cars (in cars per mile) down a 20-mile stretch of the Pennsylvania Turnpike is approximated by 8(x) = 250 (2 + sin(4Vx+ 0.175)), at a distance x miles from the Breezewood toll plaza. Sketch a graph of this function for 0 < x < 20. (a) Complete the Riemann sum that approximates the total number of cars on this 20-mile stretch (use Dx instead of Ax): Number = Σ (b) Find the total number of cars on the 20-mile stretch. Number =

Answer 1

Given 8(x)=250 12+5904452+0.175) Total no of Cars= { Plan de { 250 (2+ sin (45 2 +0.175)07 6 Total no of cars lim Dx7o E poel da 20 250 (2+ sin (4 VTX+0 175)) dx = 12156.66 =[12157