Determine the rate of flow of a liquid at given that it's flow function is determined by:

A -gallon tank begins to drain at a rate of , where is a time in seconds.

How much water will remain in the tank after five seconds?

The volume (in gallonws) of water in a sink after the drain is opened as a function of time can be written as: . What is the rate of flow out of the sink at

A -gallon tank begins to drain at a rate of , where is a time in seconds.

How much time will it take for the tank to be completely drained?

The volume of a sink with a newly open drain is a function of time, given as: .

Determine an equation that models the rate of change of flow into the sink.

Water is passing through a cone-shaped filter at . The cone has a radius of at the top and is high. At what rate is the depth of the water changing when the water reaches a height of ?

A spherical balloon is being filled with water. If, at a moment in time, the balloon has a diameter of which is increasing at a rate of , what is the rate of flow of water into the balloon?

Water is poured into a cone shaped cup at a rate of 1 m/s. The radius of the cone is 5 m. What is the rate of change of the height of the water in the cone?

The volume of water (in liters) in a stream at time (in minutes) is defined by the equation . What is the stream’s rate of flow at in liters per minute?

A cone-shaped funnel with a base diameter of and a height of is initially full of water, though water begins to drain from the tip at a rate of . How fast does the water level fall when it's at a height of ?