## Average Value of a Function

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## Average Value of a Function

To divide by a fraction, invert the denominator and multiply. Thus, an approximate value for the average value of the function is given by ∑ i = 1 n f ( x i ∗) ( b − a) Δ x = ( Δ x b − a)

## Find the average value of the function f over the interval [2, 7].

Average Function Value f (t) = t2 −5t+6cos(πt) f ( t) = t 2 − 5 t + 6 cos ⁡ ( π t) on [−1, 5 2] [ − 1, 5 2] R(z) = sin(2z)e1−cos(2z) R ( z) = sin ⁡ ( 2 z) e 1 − cos ⁡ ( 2 z) on [−π,π] [ − π, π]

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Track Improvement: The process of making a track more suitable for running, usually by flattening or grading the surface.

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## Average Value of a Function

Think about the average value of a function as the average height the function attains above the x-axis. If the function were y=3, then the height of the function is always 3

## Calculus 2 : Average Values and Lengths of Functions

Average is the value that is used to represent the set of values of data as is the average calculated from whole data and this formula is calculated by adding all the values of the set given, denoted by summation of X and dividing it by the

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