Facts - Calculus - Solved Exam, Exams of Calculus

This is the Solved Exam of Calculus which includes Find, Differentiable, Function, Limit Definition, Derivative, Limits, Evaluate, Calculus, Respect, Elliptic Track etc. Key important points are: Facts, Solution, Differential Equation, Arctan, Evaluate, Limits, Definite Integrals, Evaluate, Telescope, Distance

Typology: Exams

2012/2013

Uploaded on 03/06/2013

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Math 105 Final Exam (100 points) Name: Solutions e Check that you have 11 questions on five pages. e Show all your work to receive full credit for a problem. ‘You may use any of the following facts: ! f uy) vw — uy 7 , (uv)! = u'v-tuv’ (5) ==5 (fog)'(z) = f'(glz)) ae ik zy = _—— (b*)! = (In b)b (log, x) Tn bye (sinz)' = cos x (cos x)! = —sing (tan x)! = sec? x 1 =k cee fi 2 oe (aresin x)! = Joa (arecos x) Vie (arctan r) Teegi 1. (9 points) Is y = re" a solution to the differential equation y” — y' — 2y = 3e?"? Explain. x ax yee ye 2. cee Oxe nL Oo ders eee 2 jg y= 4e*+4xe™ yy! 2 = 4 le Gt a) = ae = beh xe e" Mot 20% =< 96% a y= xe ts a Solution bo lhe ye differen fro eq uation :