Which of the following are true of the relationship between flow and volume?
1) Volume is the integral of flow.
2) Volume is the derivative of flow.
3) Flow is the derivative of volume.
A)1 and 2 only
B)1 and 3 only
C)2 and 3 only
D)1, 2, and 3

Question

Quizplus · Accepted Answer

The statement "Volume is the integral of flow" (option 1) is correct because volume is the accumulation of flow over time. Integrating flow over time will give us the volume. 
The statement "Flow is the derivative of volume" (option 3) is correct because the rate of change of volume with respect to time is equal to the flow rate. Differentiating volume with respect to time will give us the flow rate. 
However, the statement "Volume is the derivative of flow" (option 2) is not true because the derivative of flow with respect to time gives us the rate of change of flow, not volume. Therefore, the correct answer is B, i.e. 1 and 3 only.

Which of the Following Are True of the Relationship Between