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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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