Consider the following function and interval. f(x) = 5?x, [0, 4] (a) Find the average value f_ave of f on the given interval. f_ave = 20/3 (b) Find c such that f_ave = f(c). (Enter your answers as a comma-separated list.) c = 16/9
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First, we need to find the average value of the function on the given interval. The formula for the average value of a function on an interval [a, b] is: $$ f_{ave} = \frac{1}{b-a} \int_a^b f(x) dx $$ Show more…
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