Rate of Flow

Practice Questions

CLEP Calculus › Rate of Flow

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1

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?

2

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?

3

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

4

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

5

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

6

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

7

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 ?

8

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.

9

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 ?

10

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?

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