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Published byMiranda Crowe Modified over 2 years ago

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Hello! I am Tweety. Today, I get the bird…. Hector Created by Daniel Cromer

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I will wait until Tweety is up on his bird house. Then, Ill take a ladder and snatch him!

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Hector, I am going to my birdhouse. Watch out for the cat. Yes boss.

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Tweety is resting in a bird house, 24 feet off the ground. Using a 26 foot ladder, leaned against the pole holding the bird house, Sylvester tries to steal the small yellow bird. Tweetys bodyguard, Hector the dog, starts pulling the base of the ladder away from the pole at a rate of 2 ft/s. How fast is the ladder falling when it is 10 ft off the ground? 26 ft 24 ft Not so fast!!! !

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How fast is the ladder falling (dy/dt) when it is 10 ft off the ground (y)? 26 ft y x Known Values: L Solve for: Equation: Solving for related rates: 1.Prepare Equation 2.Substitute Values

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26 ft y x L Equation: Solving for related rates requires the derivative of the equation with respect to time. Solve for:

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How fast is the ladder falling (dy/dt) when it is 10 ft off the ground (y)? 26 ft y x Known Values: L Solve for: Equation: Solving for related rates: 1.Prepare Equation 2.Substitute Values

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Known Values: Equation:

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Known Values: Equation:

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Known Values: Equation:

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How fast is the ladder falling (dy/dt) when it is 10 ft off the ground (y)? 26 ft y x Known Values: L Equation: Solving for related rates: 1.Prepare Equation 2.Substitute Values

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Tweety is resting in a bird house, 24 feet off the ground. Using a 26 foot ladder, which Sylvester leans against the pole, holding the bird house, Sylvester tries to steal the small yellow bird. Tweetys bodyguard, Hector the dog, starts pulling the base of the ladder away from the pole at a rate of 2 ft/s. How fast is the ladder falling when it is 10 ft off the ground?

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I am so very happy! I have been saved from the cat!

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