petroale000
05.02.2020 •
Mathematics
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?
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Ответ:
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
613.135 liters
Ответ:
48 degrees
Step-by-step explanation:
If you take away the line separating angles 1 and 5, you will get a 90 degree angle. Because angles 3 and 5 are corresponding angles, you will subtract 90-42. This gives you your answer of 48 degrees
Have a good day!