Related Rated Samples

 Related Rates Example Problems

Here are 7 examples of  Related Rates problems.

Related Rates: Filling a Pool (2.6 # 19)

 Related Rates: Filling a Pool (2.6 # 19)

I encourage beginners to organize related rates word problems with these 5 steps:

1: Find what? 

2: Given what?

3: What is the connection between these?

4: Implicitly differentiate something.

5: Plug in what you know, solve for what you what to find (remember the units!)

Related Rates with The Volume of a Cone (2.6 #17)

 Related Rates with The Volume of a Cone (2.6 #17)

A related rates word problem has a lot of pieces, so try organizing your strategy:

1) Find what?

2) Given what?

3) Connect the given with what you need to find with an equation

4) Differentiate something

5) Substitute what you know, solve for what you what to find.

Related Rates (2.5 #5)

 Related Rates (2.5 #5)

We differentiate both sides of the equation with respect to time.  (After all, a "rate" is something over time)

Basic Related Rates Example Quiz Solutions

 Basic Related Rates Example Quiz Solutions

These examples use the formulas of the area and alums of circles, spheres, and cones.  These techniques are applicable to cubes, cylinders, rectangles, triangles, prisms and pyramids using their respective formulas.  I encourage beginners to organize the given information by these 5 steps:

1: Find what?

2: Given what?

3:What is the connection between these?

4:Implicity differentiate something

5:Plug in what you know, solve for what you don't know

Here is a pdf of these 5 problems and their solutions