Question

Let R(t) represent the rate at which water is leaking out of a tank, where t is measured in hours. What expression represents the total amount of water that leaks out in the first three hours?

Answer 1

where is the equation?

Answer 2

sounds like related rates

Answer 3

well, we can begin by writing this: dV/dt = R(t), as the function represents the differential amount of time, or the rate at which the time is changing

Answer 4

* rate at which the volume is changing

Answer 5

now, since dt can be rearragned in the equation, if i am not mistaken, and we can now write our previouse rate as: dV = R(t)*dt

Answer 6

Well I think it's either C or D, but I'm not sure about the prime

Answer 7

50/50, i would pick C

Answer 8

:)

Answer 9

call it a hunch

Answer 10

ok. Kind of makes sense because if dV is R(t) dt, then it would just be that on the interval 0 to 3, I guess

Answer 11

right