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Unformatted text preview: can be applied, find all values of c guaranteed by the theorem. The Mean Value Theorem Let f be a continuous function on the closed interval [ a, b ] and differentiable on the open interval ( a, b ), then there is at least one number c in ( a, b ) such that a b a f b f c f--= ) ( ) ( ) ( . Hypotheses: ________________________________________________________________ Conclusion: ________________________________________________________________ Diagram illustrating the theorem: Determine whether the MVT can be applied to each function on the given interval. If so, find the values of c guaranteed by the theorem. 1) over [-1,1] 2) over [-8,8] 3) over...
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This note was uploaded on 01/12/2012 for the course MATH 2554 taught by Professor Pamelasatterfield during the Spring '11 term at NorthWest Arkansas Community College.
- Spring '11
- Mean Value Theorem