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Find the Value or Values Of cc That Satisfy the Equation f(b)f(a)ba=f(c)\frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c )

Question 75

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Find the value or values of cc that satisfy the equation f(b) f(a) ba=f(c) \frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c ) in the conclusion of the Mean Value Theorem for the function and interval.
- f(x) =x+18x,[2,9]f ( x ) = x + \frac { 18 } { x } , [ 2,9 ]


A) 2,9
B) 323 \sqrt { 2 }
C) 0,320,3 \sqrt { 2 }
D) 32,32- 3 \sqrt { 2 } , 3 \sqrt { 2 }

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