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(Solved): If the function \( f(x)=\sin [2(2 n+1) x] \) satisfies the three hypotheses of folle's Theorem on t ...




If the function \( f(x)=\sin [2(2 n+1) x] \) satisfies the three hypotheses of folles Theorem on the interval \( \left[\frac
A rectangle has the base on \( x \)-axis and its upper vertices lie on the parabola \( y-12-x^{2} \), The largest possiele ar
Let \( f \) and \( g \) be differentiable functions on the interval \( [a, b] \) with \( f a)=-6 \) and \( g(a)=-2 \). Then a
If the function \( f(x)=\sin [2(2 n+1) x] \) satisfies the three hypotheses of folle's Theorem on the interval \( \left[\frac{\pi}{8}-\frac{3 \pi}{8}\right] \) for some positive integer number n, then the conclusion of Rolie's Theorem is. satisfied at the number(s) \( c=\frac{(2 m+1) \pi}{4(2 n+1)} \) if \( n-1<3 m<5 n \) \( 3 n-2<5 m<6 n+2 \) \( 2 n+1


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