A self-catalytic chemical reaction results in the formation of a compound that causes the formation ratio to
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A self-catalytic chemical reaction results in the formation of a compound that causes the formation ratio to increase. If the reaction rate V is modeled by
V(x) = kx(a - x), 0 ≤ x ≤ 1
where k is a positive constant, a is the initial amount of the compound, and x is the variable amount of the compound, for what value of x is the reaction rate a maximum?
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