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Mathematics, 07.12.2019 02:31 gdeorsey

Let f be continuous on the interval [0, 1] to r and such that f(0) = f(1). prove that there exists a point c in [0, 1 2 ] such that f(c) = f c + 1 2 . [hint: consider g(x) = f(x) − f x + 1 2 ] conclude that there are, at any time, antipodal points on the earth’s equator that have the same temperatur

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Let f be continuous on the interval [0, 1] to r and such that f(0) = f(1). prove that there exists a...
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