# hw6 - f(x)=x sin(x-2 x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8...

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x f(x) 0 -2 0.1 -1.8 0.2 -1.6 0.3 -1.4 0.4 -1.21 0.5 -1.02 0.6 -0.84 0.7 -0.66 0.8 -0.48 0.9 -0.32 1 -0.16 1.1 -0.01 1.2 0.13 1.3 0.26 1.4 0.39 1.5 0.5 1.6 0.6 1.7 0.69 1.8 0.77 1.9 0.85 2 0.91 2.1 0.96 2.2 1.01 2.3 1.05 2.4 1.08 2.5 1.1 2.6 1.12 2.7 1.13 2.8 1.13 2.9 1.14 3 1.14 0 0.5 1 1.5 2 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 f(x)=x+si x f(x)

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2 2.5 3 3.5 in(x)-2 Column B
x f(x) 0 -2 f(x)=x+sin(x)-2 0.1 -1.8 0.2 -1.6 f(x)= 0 0.3 -1.4 xinitial 1.11 0.4 -1.21 0.5 -1.02 0.6 -0.84 0.7 -0.66 0.8 -0.48 0.9 -0.32 1 -0.16 1.1 -0.01 1.2 0.13 1.3 0.26 1.4 0.39 1.5 0.5 1.6 0.6 1.7 0.69 1.8 0.77 1.9 0.85 2 0.91 2.1 0.96 2.2 1.01 2.3 1.05 2.4 1.08 2.5 1.1 2.6 1.12 2.7 1.13 2.8 1.13 2.9 1.14 3 1.14 0 0.5 1 1.5 2 2. -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 f(x)=x+sin(x)-2 x f(x)

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.5 3 3.5 Column B
f(x)=3x+3x^2+4e^x Central Derivatives    h=.1 Differences x f(x) forward back central analytical forward back central 0 4 7.51 6.51 7.01 7 0.51 0.49 0.01 0.1 4.75 8.55 7.51 8.03 8.02 0.53 0.51 0.01 0.2 5.61 9.64 8.55 9.09 9.09 0.55 0.54 0.01 0.3 6.57 10.78 9.64 10.21 10.2 0.58 0.56 0.01 0.4 7.65 11.98 10.78 11.38 11.37 0.61 0.59 0.01 0.5 8.84 13.24 11.98 12.61 12.59 0.64 0.62 0.01 0.6 10.17 14.57 13.24 13.9 13.89

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## This note was uploaded on 02/01/2009 for the course ENGR 001 taught by Professor Dr.smith during the Spring '08 term at Lehigh University .

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hw6 - f(x)=x sin(x-2 x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8...

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