Is this an exponential decay problem? (Calculus)

A spherical tank contains 81.637 gallons of water at time t = 0 minutes. For the next 6 minutes, water flows out of the tank at the rate of 9 sin (sqrt (t+1)) gallons per minute. How many gallons of water are in the tank at the end of the 6 minutes?

If it is an expo decay problem, what is 9 sin (sqrt (t+1)) supposed to be in the equation y = Ce^kt ?? I can't seem to set up the equation right to solve the problem... I think I know the rest.

Question

Is this an exponential decay problem?  (Calculus)

A spherical tank contains 81.637 gallons of water at time t = 0 minutes. For the next 6 minutes, water flows out of the tank at the rate of  9 sin (sqrt (t+1)) gallons per minute. How many gallons of water are in the tank at the end of the 6 minutes?

If it is an expo decay problem, what is 9 sin (sqrt (t+1)) supposed to be in the equation y = Ce^kt ?? I can't seem to set up the equation right to solve the problem... I think I know the rest.

anonymous · Answer

I figured out it was a related rates problem.