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Lecture Notes for MTHSC 106 - CALC OF ONE VAR I with Guest at Clemson (Clemson)

Notes Information

Material Type:Note
Professor:Guest
Class:MTHSC 106 - CALC OF ONE VAR I
Subject:MATHEMATICAL SCIENCES
University:Clemson University
Term:Fall 2010
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Mthsc 106 Fall 2010 Final Exam Review 1. Use analytical methods to evaluate each limit. If a limit does not exist, explain why. Show all work for full credit. a) 0 lim x ? x x 3 1 3 - + b) lim x ?8 e x x x x + + - + 5 2 4 5 2 3 c) 1 lim x ? 5 2 ) 5 ln( 2 3 + x x d) 3 lim ln 1 x x x ?8 ?? ?? + ?? ?? ?? ?? e) ) 1 ln( 1 lim 2 0 + - ? x e x x 2. Find the derivative of each function. a) 2 ) ( 2 + = p x x g b) ( ) 3 1 sin ) ( x x f = c) 4 ln e y = d) ) 1 csc( ) ( 5 4 + = t t t h e) 2 sec( ) x ye = f) ( ) 3 ( ) tan sin( ) x hx e = g) ) cos(ln x x y = 3. Evaluate the following integrals. Clearly show all work, including any variable substitutions. a) dx x x x ) 7 csc 2 3 ( 2 2 ? - - + b) dx ...
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