determine whether Rolle\'s Theorem can be applied to f on the closed interval [a
ID: 2868801 • Letter: D
Question
determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. if Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(c)=0. if Rolle's Theorem cannot be applied explain why not completely.f(x)=sinx [0,2pi] determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. if Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(c)=0. if Rolle's Theorem cannot be applied explain why not completely.
f(x)=sinx [0,2pi]
f(x)=sinx [0,2pi]
Explanation / Answer
f(a)=f(0)= sin 0 =0
f(b)=f(2pi)= sin 2pi =0
f(a)=f(b) so rolls theorem can be applied
f'(x)=cosx
f'(c)=0
==> cos c =0
cos c is interval[0,2pi] when c =pi/2, 3pi/2
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.