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Estimate the value(s) of x that satisfy the conclusion of the Mean Value Theorem on the interval [2,6].

User GiriByaks
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Final answer:

To satisfy the conclusion of the Mean Value Theorem on the interval [2, 6], we need to estimate the possible values of x where the derivative of the function is equal to the average rate of change. However, without a specific function given, we can only estimate the possible values of x within the interval [2, 6].

Step-by-step explanation:

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in the interval (a, b) such that the derivative of the function at c is equal to the average rate of change of the function over the interval [a, b]. To satisfy the conclusion of the Mean Value Theorem on the interval [2, 6], we need to find the values of x where the derivative of the function is equal to the average rate of change. However, without a specific function given, we cannot determine the exact value of c. We can only estimate the possible values of c within the interval [2, 6].

User Wheaties
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