The number of milligrams x of a medication in the bloodstream t hours after a dose is

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The number of milligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled by
2000t t² + 16 x(t) =

(a) For what t-values is x increasing?
(b) Find the t-value at which x is maximum.
(c) Find the maximum value of x.

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