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Find the numbers b such that the average value of f(x) = 2(6x - 3x²)?

User Suter
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Final answer:

The average value of f(x) = 2(6x - 3x²) cannot be determined without a specified interval. Furthermore, the context provided refers to the median-median line and linear regression, which are unrelated to this function's average value but rather to data analysis and finding a line of best fit.

Step-by-step explanation:

To find the numbers b such that the average value of f(x) = 2(6x - 3x²) can be determined, we need to apply integration over a specific interval if one is given. Since the interval is not provided in the question, we cannot compute a specific value for b. However, the average value of a continuous function f(x) over the interval [a, b] can be found using the formula:

Average value of f(x) = ±(1 / (b - a)) ∫ f(x) dx, where [a, b] is the interval over which we are averaging.

It is worth noting that the question appears to be referencing the median-median line and the use of a graphing calculator to find variables related to linear regression analysis, such as the y-intercept b. However, these are unrelated to the average value of a function and are typically used to find the line of best fit for a set of data points.

User Michael Dillon
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