The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x + 5, where x is the ball's horizontal distance, in feet, from the point where it was thrown. a. What is the maximum height of the ball and how far from where it was thrown does this occur? b. How far down the field will the ball travel before hitting the ground?

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