Let \( n \in N \), if the value of \( c \) prescribed in Rolle's theorem for the function \( f(x...

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Let \( n \in N \), if the value of \( c \) prescribed in Rolle's theorem for the function \( f(x)=2 x(x-3)^{n} \) on \( [0,3] \) is \( \frac{3}{4} \), then \( n \) is equal to
(a) 1
(b) 3
(c) 5
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