# a1_11 - the same set of axis using Matlab on the...

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DALHOUSIE UNIVERSITY (Department of Engineering Mathematics) AM-3352 Numerical Methods and Linear Algebra ASSIGNMENT #1 Due: May 11, 2011 DUE: MAY 12,1999 1. Produce the linear, quadratic and cubic Taylor polynomials for the following cases. (a) 0 , ) ( ) cos( = = a e x f x (b) 0 ), 1 ln( ) ( = + = a e x f x (c) Graph the above function in (a) along with their Taylor approximations on the same set of axis using Matlab on the interval [0,2]. (d) Graph the above function in (b) along with their Taylor approximations on
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Unformatted text preview: the same set of axis using Matlab on the interval [0,2]. 2. Write a matlab program that will use the Taylor series expansion to calculate the value of ) 1 . ( f where ⌡ ⌠ + = x t dt x x f 3 1 1 ) ( accurate to 8 decimal places. HINT: Begin with a Taylor series approximation for u + 1 1 about = a , then let 3 t u = , do the integration and then divide every term by x ....
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