practice_midterm1

practice_midterm1 - lim x 1 ln( x 4 ) 2 x 1 . 5. Compute...

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Practice midterm (Math 31b) January 23, 2007 1. Find the derivative of the functions (a) f ( x ) = log e 2 ( e · sin 1 ( 2 x + 3) . (b) f ( x ) = log x 2 . 2. Find the inverse function f 1 ( x ) if f ( x ) = 2 10 x . 3. Let f ( x ) = cos 1 ( x 2 / 3 ) . Find f (1 / 8) . 4. Compute the limit
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Unformatted text preview: lim x 1 ln( x 4 ) 2 x 1 . 5. Compute the limit lim x (1 + 3 x ) 3 /x . 6. Use integration by parts to evaluate the denite integral i 1 e x sin x dx . 1...
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This note was uploaded on 10/13/2008 for the course MATH 31B taught by Professor Valdimarsson during the Winter '08 term at UCLA.

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