mws_gen_dif_spe_forward

# mws_gen_dif_spe_forward - Forward Divided Difference Major...

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10/14/11 http://numericalmeth ods.eng.usf.edu 1 Forward Divided Difference Major: All Engineering Majors Authors: Autar Kaw, Sri Harsha Garapati http://numericalmethods.eng.usf.edu Numerical Methods for STEM undergraduates

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http://numericalmethods.eng.usf.edu 2 Definition i x . ( 29 ( 29 ( 29 x x f x x f x x f Δ Δ 0 Δ lim - + = f(x) Slope at x y i x
http://numericalmethods.eng.usf.edu 3 Forward Divided Difference x x + x x ( 29 ( 29 ( 29 x x f x x f x f - + 2245 ( 29 ( 29 ( 29 x x f x x f x f i i i - + 2245 ) ( x f

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http://numericalmethods.eng.usf.edu 4 Example Example :                 The velocity of a rocket is given by   ( 29 30 0 , 8 . 9 2100 10 14 10 14 ln 2000 4 4 - - × × = t t t t ν where   ν given in m/s and   t is given in seconds
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