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9. [-/10 Points]
DETAILS
SCALCCC5 5.3.044.
Find the general indefinite integral. (Use C for the constant of integration.)
∫(x^1.6 + 93.5) dx
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10. [-/10 Points]
DETAILS
SCALCCC5 5.3.065.
Suppose r(t) is the rate at which water flows into a tank and d(t) is the rate at which water flows out of the tank at time t, both measured in cubic feet per hour. Explain the meaning of ∫[r(t)-d(t)] dt.
The total amount of water (in cubic feet) that is in the tank from hour six to hour nine. The amount of water (in cubic feet) that flows into the tank from hour six to hour nine.
The average rate of change of the amount of water (in cubic feet) that is in the tank from hour six to hour nine. The net change in the amount of water (in cubic feet) that is in the tank from hour six to hour nine.
The amount of water (in cubic feet) that flows out of the tank from hour six to hour nine
11. [-/10 Points]
DETAILS
SCALCCC5 5.3.078.
Water flows from the bottom of a storage tank at a rate of r(t) = 400 - 8t liters per minute, where 0 ≤ t ≤ 50. Find the amount of water (in liters) that flows from the tank during the first 40 minutes. liters