The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
<h3>What is mean value theorem?</h3>
Mean value theorem is the theorem which is used to find the behavior of a function.
The function given as,
The value of function at 0,
Differentiate the given equation,
If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,
Using Lagrange's mean value theorem,
Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
Learn more about the mean value theorem here;
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