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Math242FinalA07

# Math242FinalA07 - NAMESeLutto)S MATH 242,Fa112007 Final...

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NAME SeLutto\)S MATH 242,Fa112007 Final exam Arrange your work as clearly and neatly as possible, and cross out incorrect work. Unless otherwise noted, you must justify all answers to receive full credit. You may not use calculators, notes, or any other kinds of aids. Each question is worth 20 points, for a total of 200. )., 1. (a) Find -Y ,t V: cosh(4'). dx (b) Evaluat" *l1* gP si,nh (+-) s cn9 = (r"0 +. tt*x t*) A si,th ('4 t) Y, = li'^ x-\oo i") (u) l J c'o X s q/.-1 , (sln -xJ Logistic equation: K .r,r-1+Ae_kt' ,/ D\ :w (t- _r), \ ^./ K-Po dP dt A d1 , (tan-' x) : - ax r+x' l-Sln-U:COS-U 1ftan20:sec20 sin2g: !(1-cos20)

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2 Find l#0. (;l= t+d, c[w-- ex AX' L J+ =J2^l*l +Q= ',L^U"""){-
5. tan(2x2\ Evaluate lim ----\-- x-0 Xz TI o Dt\ e {t'^ X-o = [,* 7s'tA)e) Koo .=-2

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r7T/4 4. Evaluate / 4 sina x dx, or show that it is divergent. JO c"r tx) Ax ( t - Lc"rzr + dosz 7*) Ax - 1?^ 1(1-cosZx) ) clx (t- 7c">zr' + ,+; :'^ 2X
s. Evaluate

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Math242FinalA07 - NAMESeLutto)S MATH 242,Fa112007 Final...

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