math

Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water.
A) How many gallons of water leak out of the tank from time t=0 to t=3 minutes?
B) How many gallons of water are in the tank at time t=3 minutes?
C) write an expression for A(t) the total number of gallons of water in the tank at time t?
D)at what time t, for o<t<120, is the amount of water in the tank a maximum? justify the answer

asked by POD
  1. Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water.
    How many gallons of water leak out of the tank from time t=0 to t=3 minutes?

    posted by POD

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of
  2. calc rates

    Water is leaking out of an inverted conical tank at a rate of 10600.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 6.0 m. If
  3. math

    Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8.0m and the the diameter at the top is 3.5m. If the
  4. math

    Water is leaking out of an inverted conical tank at a rate of 10600.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 6.0 m. If
  5. calculus(related rates)

    Water is leaking out of an inverted conical tank at a rate of 12200 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 15 meters and the diameter at the
  6. calcalus

    Water is leaking out of an inverted conical tank at a rate of 12200 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 15 meters and the diameter at the
  7. math

    Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 meters and the diameter at the top
  8. Math-Calc

    Water is leaking out of an inverted conical tank at a rate of 14000.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top
  9. physics

    Water is leaking out of an inverted conical tank at a rate of 10700.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 7.0 meters and the diameter at the
  10. Calculus (pleas help!!!)

    Water is leaking out of an inverted conical tank at a rate of 1100.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15.0 meters and the diameter at the

More Similar Questions