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http://img85.imageshack.us/img85/9919/calculusgraphda5.jpg [Broken]

An intersection in Thomasville, Oregon, cars turn left at the rate L(t) = [tex]\sqrt{t}*sin^2(t/3)[/tex] cars per hour over the time interval 0

Traffic engineers will install a signal if there is any two-hour time interval during which the product 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.

So... basically, I read that last part, and my mind was drawing a blank. Could someone give me a little push as to what I'm supposed to think of when trying to figure out this problem?

An intersection in Thomasville, Oregon, cars turn left at the rate L(t) = [tex]\sqrt{t}*sin^2(t/3)[/tex] cars per hour over the time interval 0

__<__t__<__18 hours. The graph of y = L(t) is shown above.Traffic engineers will install a signal if there is any two-hour time interval during which the product 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.

So... basically, I read that last part, and my mind was drawing a blank. Could someone give me a little push as to what I'm supposed to think of when trying to figure out this problem?

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