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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 1

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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) =tan1x,[33,33]f ( x ) = \tan ^ { - 1 } x , \left[ - \frac { \sqrt { 3 } } { 3 } , \frac { \sqrt { 3 } } { 3 } \right] \quad Round to the nearest thousandth.


A) 0.3200.320
B) 0,0.3200,0.320
C) 0.320,0,0.320- 0.320,0,0.320
D) ±0.320\pm 0.320

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