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Posted: **Thu Jul 14, 2022 4:41 pm**

: Given F X Xn Where N Is Any Positive Integer And A Bounded Interval A B Find C In The Open Interval A B Such Tha 1 (24.08 KiB) Viewed 37 times

Given f(x)=xn, where n is any positive integer, and a bounded interval [a,b], find c in the open interval (a,b) such that f(c) is equal to the average value of f on [a,b]. hint: it may help to investigate the situation for small values of n, such as 1,2,3,…