$\text { Determine whether Rolle's Theorem can be applied to } f ( x ) = - x ^ { 2 } + 10 x \text { on the closed }$

Multiple Choice

$\text { Determine whether Rolle's Theorem can be applied to } f ( x ) = - x ^ { 2 } + 10 x \text { on the closed }$ interval $[ 0,10 ]$ . If Rolle's Theorem can be applied, find all values of $c$ in the open interval $( 0,10 )$ such that $f ^ { t } ( c ) = 0$

A) Rolle's Theorem applies; $c = 6 , c = 5$
B) Rolle's Theorem applies; $c = 4 , c = 6$
C) Rolle's Theorem applies; $c = 5$
D) Rolle's Theorem applies; $c = 4$
E) Rolle's Theorem does not apply