Unformatted text preview: Ex. A pebble is dropped into a calm pond, causing ripples in the shape of concentric circles. The ^ radius of the outer ripple is increasing at a constant rat&of 1 ft/sec. When the radius Js_4 ft, y \ "findthe rate at which the area of the disturbed water is changing. Step 1: Draw a figure. <f L &j\ Step 2: Assign variables and restate the problem, listing your given information and what you are asked to find. Notice whether the given rates of change are positive or negative. Step 3: Find an equation that relates the variables. If necessary, find a relationship among the variables that lets you eliminate one variable. Step 4: Differentiate with respect to time. Step 5: Substitute the given information, and solve for the unknown derivative. Be sure to include units with your answer,...
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 Fall '11
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 Calculus, Chain Rule, Derivative, The Chain Rule, DT DT DT, Assign variables, dy dx dV

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