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\begin{frame} \frametitle{Related (Dependent) Rates} \begin{block}{Problem Solving Strategy} Important when solving textual problems: \begin{itemize} \pause \item Read the problem carefully. \pause \item Draw a diagram. \pause \item Introduce notation, function names for the quantities. \pause \item Express given information and goal using the notation. \pause \item Write equations relating the quantities. \pause Eliminate dependent variables (in the previous example we have eliminated the radius as it was dependent on the height). \pause \item Use the chain rule to differentiate both sides w.r.t. $t$. \pause \item Solve for the unknown rate, and substitute the given information into the resulting formula. \end{itemize} \end{block} \end{frame}