In the interval \( [0,1] \), the function \( x^{25}(1-x)^{75} \) takes its maximum value at the ...
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1In the interval \( [0,1] \), the function \( x^{25}(1-x)^{75} \) takes its maximum value at the point
(A) 0
(B) \( \frac{1}{4} \)
(C) \( \frac{1}{2} \)
(D) \( \frac{1}{3} \)
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