Posted by **Jemima** on Saturday, February 26, 2011 at 10:47pm.

Transportation engineers use traffic flow data to design the timing of traffic lights at intersections. At a certain intersection, the traffic flow, F(t), is modeled by the function

F(t)=82+4sin(t/2) when 0¡Üt¡Ü30 minutes, where F(t), in vehicles per minute, is the rate at which vehicles pass through the intersection.

a) How many vehicles (to the nearest whole number) pass through the intersection over the 30-minute period?

b) Is the traffic flow increasing or decreasing at t=7? Include a reason with your answer

c) What is the average value of the traffic flow durign the 30-minute time period?

d) What is the average rate of change of the traffic flow during the 30-minute time period?

- Calculus -
**MathMate**, Saturday, February 26, 2011 at 11:16pm
Hannah, please use Western ISO8859-1 encoding when you post mathematical symbols. It would be much easier for everyone. Thanks.

When appropriate encoding is used, the second paragraph reads:

F(t)=82+4sin(t/2) when 0≤t≤30 minutes, where F(t), in vehicles per minute, is the rate at which vehicles pass through the intersection.

## Answer This Question

## Related Questions

- STAT-discrete random varaibles - a driver passes 4 sets of traffic lights. the ...
- Physics - The stoplights on a street are designed to keep traffic moving at 34 ...
- physics - A car is stopped at a set of traffic lights. It takes off, ...
- Business - To save on gasoline expenses, Edith and Mathew agreed to carpool ...
- Social Studies - Which trend is true regarding China's economic impact on ...
- physics - A MASS OF A MINUBUS WITH THE DRIVER IS 1 500Kg .ASSUME THAT THE ...
- science - When the front of a 5.0 m long bus traveling at a constant speed of 20...
- Physics - You are sitting in your car at a traffic light at the foot of a 200 ft...
- Day Care - Which one of the following is a good traffic pattern arrangement? A. ...
- Maths - We have to design a way of simulating the situation. Cars driven on the ...

More Related Questions