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Consider the Function f(x)=ax(1x)f(x)=a x(1-x) For a>0a>0 What Is Largest Value of a Such That

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Consider the function f(x)=ax(1x)f(x)=a x(1-x) for a>0a>0 .What is largest value of a such that f(x)3f(x) \leq 3 on the region 0x10 \leq x \leq 1 ?


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