Post Video Questions

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Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

The value of the definite integral $\int _2^4 x-1 dx$ is:

$2$ $4$ $6$ $8$ $10$

Let $r(t)$ represent the rate at which water drains from a tank (in gallons per minute) and let $t$ represent the number of minutes elapsed since water started draining from the tank. Which of the following best describes the meaning of $\int _{1}^{4} r(t) dt$ ?

The change in the rate at which the water drains from 1 to 4 hours after starting to drain the water. The change in the volume of water in the tank from 1 to 4 hours after starting to drain the tank. The average rate at which water is leaving the tank from 1 to 4 hours after starting to drain the tank. The amount of water that has drained from the tank 4 hours after starting to drain the tank.