Determine Whether the Mean Value Theorem Can Be Applied to the Function

question 74

Multiple Choice

Determine whether the Mean Value Theorem can be applied to the function $f ( x ) = x ^ { 3 }$ on the closed interval $[ 0,16 ]$ . If the Mean Value Theorem can be applied, find all numbers $c$ in the open interval $( 0,16 )$ such that $f ^ { t } ( c ) = \frac { f ( 16 ) - f ( 0 ) } { 16 - 0 }$ .

• A)
• MVT applies; \(- \frac { 16 \sqrt { 3 } } { 3 }\)
• B) MVT applies; 4
• C) MVT applies; \(\frac { 16 \sqrt { 3 } } { 3 }\)
• D) MVT applies; 8
• E) MVT does not apply

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