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After a vigorous soccer match, Tina and Michael decide to have a glass of their favorite refreshment. They each run in a straight line along

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After a vigorous soccer match, Tina and Michael decide to have a glass of their favorite refreshment. They each run in a straight line along the indicated paths at a speed of 10 ft/sec. (100, 400) (-50, 275) soy milk beet juice (150, 25) Tina Michael Write parametric equations for the motion of Tina and Michael individually after & seconds. (Round all numerical values to four decimal places as needed.) Tina X =| 150 - 6.247t y : 25 + 7.8087t Michael X = 2.4254t 9.7014t Find when Tina and Michael are closest to one another. (Round your answer to four decimal places.) t = 17.5015 X s Find where Tina and Michael are closest to one another. (Round your answers to three decimal places.) Tina ( x, y ) = Michael ( x, y ) = 42.44,169.784 x Compute this minimum distance. (Round your answer to one decimal place.) 8.3 X ft

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