Exam 12: Vector-Valued Functions

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Determine the maximum height of a projectile fired at a height of 5 feet above the ground with an initial velocity of 600 feet per second and at an angle of Determine the maximum height of a projectile fired at a height of 5 feet above the ground with an initial velocity of 600 feet per second and at an angle of   above the horizontal. Use the model for projectile motion, assuming there is no air resistance. Round your answer to three decimal places. above the horizontal. Use the model for projectile motion, assuming there is no air resistance. Round your answer to three decimal places.

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Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below. Surfaces Parameter Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below. Surfaces Parameter    Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below. Surfaces Parameter

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A particle moves in the yz-plane along the curve represented by the vector-valued function A particle moves in the yz-plane along the curve represented by the vector-valued function   . Find the maximum value of   . . Find the maximum value of A particle moves in the yz-plane along the curve represented by the vector-valued function   . Find the maximum value of   . .

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Find Find   given the following vector function: ​   ​ given the following vector function: ​ Find   given the following vector function: ​   ​

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Suppose the outer edge of a playground slide is in the shape of a helix of radius 8 meters. The slide has a height of 2 meters and makes one complete revolution from top to bottom. Find a vector-valued function for the helix.

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