Outcome A5: Related Rates

Question 1

What is the first step to determine rates of change within time dynamic situations?

Answer 1

Draw and label a diagram. All changing quantities should be labeled with variables. Fixed quantities can be labeled with numbers.

Question 2

What is the second step to determine rates of change within time dynamic situations?

Answer 2

Identify known and unknown quantities and rates.

Question 3

What is the third step to determine rates of change within time dynamic situations?

Answer 3

Write an equation relating the variables from the diagram. This usually involves a formula from geometry.

Question 4

What is the fourth step to determine rates of change within time dynamic situations?

Answer 4

Take the derivative of both sides of the equation with respect to time. This usually involves the chain rule.

Question 5

What is the fifth step to determine rates of change within time dynamic situations?

Answer 5

Substitute known information into the resulting equation to solve for the desired rate.