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

question 283

Multiple Choice

Find the value or values of $c$ that satisfy the equation $\frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c )$ in the conclusion of the Mean Value Theorem for the function and interval.
- $f ( x ) = \ln ( x - 1 ) , [ 2,4 ]$
Round to the nearest thousandth.

• A) \(2.820\)
• B) \(3.885\)
• C) \(3.820\)
• D) \(\pm 2.820\)

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Definitions:

Sequencing Instruction

The process of organizing instructions or events in a specific order for clarity and understanding.

Three to Seven Characters

A range often used to describe the length of codes in medical coding, indicating specificity and detail in diagnosis or procedures.

ICD-10-CM

The International Classification of Diseases, Tenth Revision, Clinical Modification, used for coding and classifying morbidity data.

ICD-10-PCS

International Classification of Diseases, Tenth Revision, Procedure Coding System; a medical classification system used for coding procedures in healthcare settings.