Related_Rates_Handout_Notes_p2

# Related_Rates_Handout_Notes_p2 - Step 4 Differentiate with...

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Ex. Water runs out of a caudal tank at the constant rate of 2 c the top of the tank i^Sfe^, and the height of the tank sinking when the water is 4 feet deep? Step 1: Draw a figure. H 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 gliminate one variable. Step 4: Differentiate with respect to time.
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Unformatted text preview: Step 4: Differentiate with respect to time. , -\ . \j( i Step 5: Substitute the given information, and solve for the unknown derivative. Be sure to include units with your answer. :1U^ Ex. A 13-ft. ladder is leaning against a wall. Suppose that the base of the ladder slides away from the wall at the constant rate of 3 ft/sec. How fast is the top of the ladder sliding down the wall when the base of the ladder is 5 ft. from the wall?...
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