Worksheet 6.1 - Integral As Net Change - Calculus Maximus (Page 7 of 9) in pdf

Worksheet 6.1 - Integral As Net Change - Calculus Maximus Page 7

Calculus Maximus

WS 6.1: Integral as Net Change

10. AP 2006-2

 

 



 

At an intersection in Thomasville, Oregon, cars turn left at the rate of

L t

sin

cars per hour

 

 

 



L t

over the time interval 0

hours. The graph of

is shown above.

(a) To the nearest whole number, find the total number of cars turning left at the intersection over the

 

time interval 0

hours.

 

L t 

(b) Traffic engineers will consider turn restrictions when

150

cars per hour. Find all values of t

 

L t 

for which

150

and compute the average value of L over this time interval. Indicate units of

measure.

of the total number of cars turning left and the total number of oncoming cars traveling straight

through the intersection is greater than 200,000. In every two-hour time interval, 500 oncoming

cars travel straight through the intersection. Does this intersection require a traffic signal? Explain

the reasoning that leads to your conclusion.

Page 7 of 9

Worksheet 6.1 - Integral As Net Change - Calculus Maximus Page 7