Exam 7: Extension D: Differential Equations

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Find the length of the curve. Find the length of the curve.

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A hawk flying at an altitude of A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m. m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m. until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m. m.

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Use Simpson's Rule with n = 6 to estimate the length of the curve Use Simpson's Rule with n = 6 to estimate the length of the curve   ,   Round your answer to six decimal places. , Use Simpson's Rule with n = 6 to estimate the length of the curve   ,   Round your answer to six decimal places. Round your answer to six decimal places.

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D

Find the arc length function for the curve Find the arc length function for the curve   with starting point  with starting point Find the arc length function for the curve   with starting point

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Use the arc length formula to find the length of the curve. Use the arc length formula to find the length of the curve.

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Find the length of the curve. Find the length of the curve.

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A steady wind blows a kite due west.The kite's height above ground from horizontal position A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. to A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. ft is given by A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. Find the distance traveled by the kite. Give your answer rounded to two decimal places.

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Set up,but do not evaluate,an integral for the length of the curve. Set up,but do not evaluate,an integral for the length of the curve.

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