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Unformatted text preview: version has the advantage of giving a more explicit remainder. Of course the case x < 0 follows by applying the result to g ( x ) = f (x ), and an expansion near a 6 = 0 follows by taking g ( x ) = f ( a + x ). Part 2 3. Problem 15 from page 141. 4. Problem 2 from page 165. Part 3 5. Problem 3 from page 165. 6. Let f : [0 , 1] [0 , 1] be continuously dierentiable with nonincreasing derivative and with f (0) = f (1) = 0. Prove that the arclength of the graph of f is at most 3. 1...
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This note was uploaded on 02/15/2012 for the course MATH 18.100B taught by Professor Prof.katrinwehrheim during the Fall '10 term at MIT.
 Fall '10
 Prof.KatrinWehrheim

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