at 8am a wading pool is filled with water The temperature of

at 8am a wading pool is filled with water. The temperature of the water in the pool t hours after it is filled is given by g(t)= t^3 - 3t^2 +58 for 0<=t<=5. What is the average temperature of the water between 9am to noon?

Solution

here we have, t = 1 to t = 4 hence average temperature I = 1/(12-9) [ int [ t^3 - 3t^2 +58]dt] I = 1/3 [ t^4/4 - t^3 + 58t ] from t =1 to t = 4 I = 1/3 [ 64 - 64 + 58 x 4 - 1/4 + 1 - 58 ] I = 58.25 C
at 8am a wading pool is filled with water. The temperature of the water in the pool t hours after it is filled is given by g(t)= t^3 - 3t^2 +58 for 0<=t<=

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