M408C - Final Exam Practice

M408C - Final Exam Practice - Exam 3 am Calculators OK 75...

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Unformatted text preview: Exam 3 am Calculators OK 75 minutes 1)(25 points) Let f ( x ) = ln( x ) /x . a) Find the domain and intercepts b) Find all asymptotes c) Differentiate and simplify. 2)(35 points) Let f ( x ) = x 2 e- x on [0 , 3]. a) Differentiate and Simplify b) Find all critical points c) Use the first derivative test to find all local extremes. d) Find all absolute extremes. 3)(40 points) Integrate: a ) Z 1 x e x 2 dx b ) Z e x ( e x- e- x ) dx c ) Z e 1 1 x √ ln x dx d ) Z sec 2 x tan 2 x dx Exam 3B 10am 1 hour 15 minutes 1)(35 points) Let f ( x ) = √ x ln( x ). a) Find all asymptotes b) Differentiate and simplify. c) Find all critical points. d) Use the first derivative test to find all local extremes 2)(25 points) Let f ( x ) = xe- x 2 . a) Find all asymptotes b) Differentiate and simplify. 3)(40 points) Integrate: a ) Z ( e x- e- x ) 2 e- x dx b ) Z x x- 1 dx c ) Z e 3 e 2 1 x ln x dx d ) Z 1 tan x dx Sample Exam 3 No Calculators A)(15 points) Find the area bounded by the two curves y = x 2-...
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This note was uploaded on 03/22/2008 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas.

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M408C - Final Exam Practice - Exam 3 am Calculators OK 75...

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