Question: b. A tub is initially empty and is being filled up with the volume of the tub given by the function V(t)=(tan)^sint for the time-interval

b. A tub is initially empty and is being filled up with the volume of the tub given by the function V(t)=(tan)^sint for the time-interval 0.5 hour t 1.5 hour. The volume of water in the tub is in units of ft^3 and time t is in hours. Find the instantaneous rate of change of volume with respect to time at t =1 hour. In other words, give the "fill rate" when the stopwatch reads 1 hour. Express your answer as a decimal rounded to two decimal places.

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