Home /
Expert Answers /
Calculus /
if-the-function-f-x-sin-2-2-n-1-x-satisfies-the-three-hypotheses-of-folle-39-s-theorem-on-t-pa736
(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 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