The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 800 t − 120 t 2 , where t is in hours, and t =0 is 6am. how many cars pass through the intersection between 6 am and 8 am?

There is a total of 2080 cars passing through the intersection between 6 am and 8 am and this can be determined by doing integration.

Given :

The traffic flow rate (cars per hour) across an intersection is , where t is in hours, and (t = 0) is 6 am.

Integration should be carried out to determine the number of cars passing through the intersection between 6 am and 8 am.

         = 800 + 1600 - 320

         = 2080

So, there is a total of 2080 cars pass through the intersection between 6 am and 8 am.

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link

2080

Step-by-step explanation:

Given:

Looking for:

Solve:

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation: