Solved: Suppose f C[a, b], that x1 and x2 are in [a, b], and that c1 and c2 are positive

Chapter 1, Problem 1.1.26

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Suppose f C[a, b], that x1 and x2 are in [a, b], and that c1 and c2 are positive constants. Show that a number exists between x1 and x2 with f ( ) = c1 f (x1) + c2 f (x2) c1 + c2

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