In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was

Question

In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the function

Determine the temperature at 9 am.
Determine the temperature at 3 pm.
Find the average temperature during the period from 9 am to 9 pm.

In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the function T(t) = 30 + 19 sin (pit/12) Determine the temperature at 9 am. Determine the temperature at 3 pm. Find the average temperature during the period from 9 am to 9 pm.

Explanation / Answer

temp. at 9 am
= 30+19 sin (3.14*9/12)
= 30.78 celsius
= 31 degree celcius(approx)

temp. at 3pm
=31.30 degree celcius

avg. temp.
=31.29 degree celcius

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