sir damon steve damon damon help maths

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

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  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)

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  2. hmmm just look for the antiderivative for dt

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

    ∫[a,b] f(t) dt
    ------------------
    b-a

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