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Unformatted text preview: dx dt Â² 2 + Â± dy dt Â² 2 . and ds dt = r Â³ x ( t ) Â´ 2 + Â³ y ( t ) Â´ 2 . In this case L = Z t 1 t ds dt dt = Z t 1 t r Â³ x ( t ) Â´ 2 + Â³ y ( t ) Â´ 2 dt. Problem Â§ 8.1 # 34. A steady wind blows a kite due west. The kiteâ€™s height above the ground from horizontal position x = 0 to x = 80 ft is given by y = 1501 40 ( x50) 2 . Find the distance traveled by the kite. Problem Â§ 8.1 # 33. A hawk ï¬‚ying at 15m/s at an altitude if 180m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 180x 2 45 until it hits the ground. Here y is the height above the ground and x the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground....
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 Spring '08
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 Calculus, Arc Length, Distance, arc length formula, DT DT DT

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