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The height of a model rocket in feet, x, t seconds after its launch is

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The height of a model rocket in feet, x, t seconds after its launch is modeled by the equation \(x=-t^2+bt+a\), where a and b are positive integers. At what value of t does the rocket reach its maximum height?

(1) \(b=10\)

(2) \(a=125\)


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