Ask Question
27 March, 16:42

Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?

+2
Answers (1)
  1. 27 March, 20:04
    0
    Procedure:

    1) Integrate the function, from t = 0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and

    2) Substract the result from the initial content of the tank (1000 liters).

    Hands on:

    Integral of (6 - 6e^-0.13t) dt ]from t = 0 to t = 60 min =

    = 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t = 0 to t = 60 min =

    6*60 + 46.1538 e^ (-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters

    2) 1000 liters - 313.865 liters = 613.135 liters

    Answer: 613.135 liters
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. If the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers