Fall 2010 Final

Fall 2010 Final - 1 McGill University Faculty of...

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1 McGill University Faculty of Engineering Final Examination Math 262: Fall 2010 Intermediate Calculus Examiner: Prof. N.Sancho Date: 17 th Dec. 2010 Assoc. Examiner: Dr. N. Dimitrov Time: 2:00 – 5:00 pm Instructions Please answer all questions in the exam. booklet provided. This is a closed book exam. The exam. is worth 100 marks Calculators are not permitted Dictionaries are not allowed This exam. is comprised of the cover page and 2 pages of questions
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2 Final Examination Math 262 Fall 2010 17 th December 2010 1.(a) (8 marks) Determine the values of x for which the series converge absolutely, converge conditionally or diverge: 1/ 2 1 (2 3) 4 n n n x n = + (b) (12 marks) If C(x) = 0 1 cos x t dt t - .(i) Find the first three terms for C(x) about x = 0 (ii) Find C(0.2) with error 4 10 - . 2. (a) (4 marks) Show that the function ( , ) sin x u x y e y = satisfies the equation 2 2 2 2 0. u
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Fall 2010 Final - 1 McGill University Faculty of...

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