Et the temperature in gotham (the fictional city where batman lives) in degrees fahrenheit (°f) t hours after 9 am be modeled by the function f(t) = 50 + 15 sin πt 12 (a) find the average value of f, fave, from t = 0 to t = 12.

Explanation:

It is given that, the temperature in Gotham in degrees Fahrenheit (°F) t hours after 9 AM be modeled by the function as :

We need to find the average value of F from t = 0 to t = 12 s

The average value of an integral over and interval a to b is given by :

Using online calculator, the integral is given by :

So, the average value of From t = 0 to t = 12 s is 14.54 degrees Fahrenheit. Hence, this is the required solution.

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