23. Let f(x) = x2. For what value of x does f(x) equal the average value of f on the closed interval [2,5]?
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A. Ö (107/9) |
B. Ö 13 |
C. Ö (125/9) |
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D. Ö (133/9) |
E. 7 |
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Solution: The answer is B
There are two steps to this problem. First find the average value of f on the closed interval [2,5], and then set this value equal to f(x) to solve for x.
The average value of f on the interval [2,5] is by definition,
Setting f(x) = fave and solving for x yields,
