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Unformatted text preview: 2 ] such that cos c2 c = 0. (5 points). Let f ( x ) = cos x2 x . Note that f is continuous since it is the dierence of two continuous functions. Further, note that f (0) = 10 = 1 > 0 and f ( 2 ) = 0 = < 0. Thus, by the intermediate value theorem, there exists a c [0 , 2 ] such that f ( c ) = 0, which is to say that cos c2 c = 0....
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This note was uploaded on 07/17/2008 for the course MATH 151 taught by Professor Any during the Summer '08 term at Ohio State.
 Summer '08
 Any
 Math, Calculus

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