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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 59

Multiple Choice

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) =ln(x1) ,[2,6]f ( x ) = \ln ( x - 1 ) , [ 2,6 ] \quad Round to the nearest thousandth.


A) 4.4854.485
B) 3.4853.485
C) 3.8853.885
D) ±3.485\pm 3.485

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