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3 October, 14:25

A) The function h (t) = - 4.912 + 28.62t + 2.4 models the height h of a high

pop - up hit by a baseball player after t seconds. State an appropriate window to view the maximum height of the ball and when the ball hits the ground.

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  1. 3 October, 14:33
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    I think you mean to have - 4.912t^2 in there. So if you take the derivative of the function, you get df/dt = - 9.824t + 28.62. The df/dt is 0 when finding a max or min. So 0 = - 9.824t + 28.62, and subtracting both sides by 28.62 then dividing the resulting equation by - 9.824 results in the max height being at approximately 2.913 seconds. So an appropriate window would be 2.5 to 3.5 seconds.
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