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plugin-thq4 - Differential Calculus Fall 2010 Take-Home...

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Unformatted text preview: Differential Calculus Fall 2010 Take-Home Quiz 4 1. Locate the absolute extrema of the function on the closed interval f ( x ) = x 3- 3 2 x 2 , [- 1 , 2] 2. Locate the absolute extrema of the function on the closed interval f ( x ) = x + sin x, [0 , 2 π ] 3. Determine whether Rolle’s Theorem can be applied to f on the closed interval [ a,b ]. If Rolle’s Theorem can be applied, find all values of c in the open interval ( a,b ) such that f ( c ) = 0. f ( x ) = ( x- 3)( x + 1) 2 , [- 1 , 3] 4. Determine whether the Mean Value Theorem can be applied to f on the closed interval [ a,b ]. If the Mean Value Theorem can be applied, find all values of c in the open interval ( a,b ) such that f ( c ) = f ( b )- f ( a ) b- a . f ( x ) = x ( x 2- x- 2) , [- 1 , 1] 5. Determine whether the Mean Value Theorem can be applied to f on the closed interval [ a,b ]. If the Mean Value Theorem can be applied, find all values of c in the open interval ( a,b ) such that f ( c ) = f ( b )- f ( a ) b- a ....
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This note was uploaded on 05/15/2011 for the course HIST 101 taught by Professor Mr.beckler during the Spring '11 term at Alabama State University.

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plugin-thq4 - Differential Calculus Fall 2010 Take-Home...

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