Urgent : the rate at which customers arrive at a counter to be served is modeled by the function f defined by f(t)=10+6cos((t)/(\pi )) 0< =t< =60 where f(t) is measured in customers per minute and t is measured in minutes. to the nearest whole number, how many customers arrive at the counter over the 60-minute period?

606 costumers ( Approx )

Explanation:

Here, the function that shows the the rate at which customers arrive at a counter,

For 0 ≤ t ≤ 60 minutes,

The number of costumers,

-----(1)

Let

⇒

⇒

By substituting this on equation (1),

606 customers arrive at the counter over the 60 minute period.

Step-by-step explanation:

Given : The rate at which customers arrive at a counter to be served is modeled by the function F defined by  where F(t) is measured in customers per minute and t is measured in minutes.

To find : How many customers arrive at the counter over the 60-minute period?

Solution :

We are going to integrate the function in the interval with respect to time.

Function

Integrate w.r.t t in the interval  

Approximately, 606 customers arrive at the counter over the 60 minute period.

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