(A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
(A)
Assume that the density of vehicles (number per mile) during morning
rush hour, for the 20-mi stretch along the New York State Thruway
southbound from the Tappan Zee Bridge, is given by f (x), where x is the
distance, in miles, south of the bridge. Which of the following gives the
number of vehicles (on this 20-mi stretch) from the bridge to a point x mi
south of the bridge?
(where the 20-mi stretch has been partitioned into n equal
subintervals)
none of these
The center of a city that we will assume is circular is on a straight
highway. The radius of the city is 3 mi. The density of the population, in
thousands of people per square mile, is given approximately by f (r) = 12
− 2r at a distance r mi from the highway. The population of the city (in
1000s) is given by the integral
The population density of Winnipeg, which is located in the middle of
the Canadian prairie, drops dramatically as distance from the center of
town increases. This is shown in the following table:
Using a Riemann Sum, we can calculate the population living within a
10-mi radius of the center to be approximately
608,500
