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**Unformatted text preview: **dx dt ² 2 + ± dy dt ² 2 . and ds dt = r ³ x ( t ) ´ 2 + ³ y ( t ) ´ 2 . In this case L = Z t 1 t ds dt dt = Z t 1 t r ³ x ( t ) ´ 2 + ³ y ( t ) ´ 2 dt. Problem § 8.1 # 34. A steady wind blows a kite due west. The kite’s height above the ground from horizontal position x = 0 to x = 80 ft is given by y = 150-1 40 ( x-50) 2 . Find the distance traveled by the kite. Problem § 8.1 # 33. A hawk ﬂying 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 = 180-x 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 trav-eled by the prey from the time it is dropped until the time it hits the ground....

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- Spring '08
- varies
- Calculus, Arc Length, Distance, arc length formula, DT DT DT