Question

Record, indicate that t hours past midnight, the temperature at the local airport was T(t)=-0.3t^2+4t+10degree celcius. What was average temperature in farenheit at airport between 9am and noon?

Plz damon show step

Answer 1

integral T dt
= .1 t^3 + 2 t^2 + 10 t

at t = 12
= .1(1728) + 2(144) + 120

at t = 9
= .1(729) + 2(81) + 90

subtract value at 9 from value at 12

divide by (12-9)

Answer 2

hmmm just look for the antiderivative for dt

Answer 3

That is correct. The average value of a function over an interval if

∫[a,b] f(t) dt
------------------
b-a