 Related Rates ◦ Idea:  Given two quantities that 1.Are somehow related 2.Changing (usually w.r.t. time)  The problem is to find how one of these quantities.

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 Related Rates ◦ Idea:  Given two quantities that 1.Are somehow related 2.Changing (usually w.r.t. time)  The problem is to find how one of these quantities is changing, given how the other one is. ◦ Procedure  Find equation that relates the two quantities  Use chain rule to differentiate this equation w.r.t. the independent variable (time)  Step 1: ◦ Draw Diagram  Step 2 ◦ Introduce Notation  Step 3 ◦ Express info. in terms of variables  Step 4 ◦ Relate the quantities  Step 5 ◦ Differentiate (Chain rule)  Step 6 ◦ Evaluate required rate

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