2.6_related_rates_problems.pdf - AP Calculus AB...

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AP Calculus ABName ____________________“Differentiation”Date __________Related RatesHomeworkShow all work! Give your answer in a full sentence and provide units!The KiteA kite is moving horizontally with a speed of 7secmat an altitude of 40 m.Determine how fast the string is being paid out when the kite is 50 m from thekite flyer.The Falling KiteA kite is falling vertically with a speed of 5secmand being blown horizontallyat 7secmwhile it is at an altitude of 30 m.Determine the speed with which thestring is being paid out or taken in when the kite is 50 m from the kite flyer.
The Sliding 13-ft LadderA 13 ft ladder rests against the side of a house.When the base of the ladderis 5 ft from the house, it is moving with a velocity of 3secftaway from the house.Determine:a) How fast the top of the ladder is moving:b) The rate at which the area under the ladder is changing:c)The rate at which the slope of the ladder is changing.
The Inverted ConeWater is dripping out of an inverted cone at the rate of 15
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Fall
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reddy
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inverted cone