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GUIDELINES FOR SOLVING RELATED-RATE PROBLEMS:

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  1. Identify all given quantities and quantities to be determined. Make a sketch and label the quantities.
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  2. Write an equation involving the variables whose rates of change either are given or are to be determined.
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  3. Using the chain rule, implicitly differentiate both sides of the equation with respect to time t.
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  4. After completing step 3, substitute into the resulting equation all know values for the variables and their rates of change. Then solve for the required rate of change.
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