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

question 82

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

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