A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function where t is in minutes. How much water flows out of the tank in the first 8 minutes? How many minutes does it take for the tank to empty completely?
2006-10-23 17:02:14 · 2 answers · asked by armadillo_moxie 1 in Science & Mathematics ➔ Mathematics
the function is f(t) = 150t^2
sorry bout that
2006-10-23 17:23:31 · update #1
V = ∫f(t)dt = 50*t^3; evalutated for the limits 0 and 8/60, this is 50*(8/60)^3.
To empty the tank, 50*t^3 must equal 6000 for t in hours. Solve for t and then convert to minules
2006-10-23 21:22:07 · answer #1 · answered by gp4rts 7 · 0⤊ 0⤋
i think u forgot to mention which function will u please add it
2006-10-23 17:10:22 · answer #2 · answered by Raven 2 · 0⤊ 0⤋