# Tarea_3_Problema_5

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No x y 0 2 61 5 992 1 33 7 2914 3 195 8 444P 1 (x)= (x-x 1 )/(x 0 -x 1 )*f(x 0 )+(x-x 0 )/(x 1 -x 0 )*f(x 1 ) P 1 (4) = (4-5)/(2-5)*6+(4-2)/(5-2)*99= 68 P 2 (x)= (x-x 1 )(x-x 2 )/(x 0 -x 1 )(x 0 -x 2 ) *f(x 0 )+(x-x 0 )(x-x 2 )/(x 1 -x 0 )(x 1 -x 2 )*f(x 1 )+(x-x 0 )(x-x 1 )/(x 2 -x 0 )(x 2 -x 1 )*f(x 2 ) P 2 (4) = (4-5)(4-1)/(2-5)(2-1) *6+(4-2)(4-1)/(5-2)(5-1)*99+(4-2)(4-5)/(1-2)(1-5)*3= 54 P 3 (x)= (x-x 1 )(x-x 2 )(x-x 3 )/(x 0 -x 1 )(x 0 -x 2 )(x 0 -x 3 )*f(x 0 )+(x-x 0 )(x-x 2 )(x-x 3 )/(x 1 -x 0 )(x 1 -x 2 )(x 1 -x 3 )*f(x 1 )+(x-x 0 )(x-x 1 )(x-x 3 )/(x 2 -x 0 )(x 2 -x 1 )(x 2 -x 3 )*f(x 2 )+(x-x 0 )(x-x 1 )(x-x 2 )/(x 3 - P 3 (4) = (4-5)(4-1)(4-7)/(2-5)(2-1)(2-7)*6+(4-2)(4-1)(4-7)/(5-2)(5-1)(5-7)*99+(4-2)(4-5)(4-7)/(1-2)(1-5)(1-7)*3+(4-2)(4-5)(4-1)/(7-2)(7-5)(7-1)*291=   P 4 (x)= (x-x 1 )(x-x 2 )(x-x 3 )(x-x 4 )/(x 0 -x 1 )(x 0 -x 2 )(x 0 -x 3 )(x 0 -x 4 )*f(x 0 )+(x-x 0 )(x-x 2 )(x-x 3 )(x-x 4 )/(x 1 -x 0 )(x 1 -x 2 )(x 1 -x 3 )(x 1 -x 4 )*f(x 1 )+(x-x 0 )(x-x 1 )(x-x 3 )(x-x 4 )/(x 2 -x 0 )(x 2 -x 1 )(x 2 -x 3 (x-x 0 )(x-x 1 )(x-x 2 )(x-x 4 )/(x 3 -x 0 )(x 3 -x 1 )(x 3 -x 2 )(x 3 -x 4 )*f(x 3 )+(x-x 0 )(x-x 1 )(x-x 2 )(x-x 3 )/(x 4 -x 0 )(x 4 -x 1 )(x 4 -x 2 )(x 4 -x 3 )*f(x 4 ) P 4 (4) = (4-5)(4-1)(4-7)(4-3)/(2-5)(2-1)(2-7)(2-3)*6+(4-2)(4-1)(4-7)(4-3)/(5-2)(5-1)(5-7)(5-3)*99+(4-2)(4-5)(4-7)(4-3)/(1-2)(1-5)(1-7)(1-3)*3+(4-2)(4-(4-2)(4-5)(4-1)(4-7)/(3-2)(3-5)(3-1)(3-7)*19= 48 Podemos notar que nos resultan los mismos valores que calculamos anteriormente, por lo que P 5 (x) = 48  x 0 )(x 3 -x 1 )(x 3 -x 2 )*f(x 3 )  8 )(x 2 -x 4 )*f(x 2 )+)(4-1)(4-3)/(7-2)(7-5)(7-1)(7-3)*291+  No T f 0 10 10.1 10.1 -0.193 0.0042 -0.00008 6.6667E-071 20 8.17 8.17 -0.172 0.003 -6.6667E-052 15 9.03 9.03 -0.157 0.002333333 25 7.46 7.46 -0.1224 30 6.85 6.85 b 0 =f(T 0 )=f(T) b 1  b 2  b 3  b 4 P 1 (x)= b 0 +b 1 (x-x 0 ) P 1 (x)= 10.1-0.193(x-10)P 1 (18)=10.1-0.193(18-10)= 8.556P 2 (x)= b 0 +b 1 (x-x 0 )+b 2 (x-x 0 )(x-x 1 ) P 2 (x)= 8.556+0.0042(x-10)(x-20)P 2 (18)= 8.556+0.0042(18-10)(18-20)= 8.4888P 3 (x)= b 0 +b 1 (x-x 0 )+b 2 (x-x 0 )(x-x 1 )+b 3 (x-x 0 )(x-x 1 )(x-x 2 ) P 3 (x)= 8.4888-0.00008(x-10)(x-20)(x-15) P 3 (18) = 8.6232-0.00008(18-10)(18-20)(18-15)=  8.49 P 4 (x)= b 0 +b 1 (x-x 0 )+b 2 (x-x 0 )(x-x 1 )+b 3 (x-x 0 )(x-x 1 )(x-x 2 )+b 4 (x-x 0 )(x-x 1 )(x-x 2 )(x-x 3 ) P 4 (x)= 8.49264+0.00000066667(x-10)(x-20)(x-15)(x-2 P 4 (18) = 8.49264+0.00000066667(18-10)(18-20)(18-1   64 5)5)(18-25)= 8.492864

Sep 22, 2019

#### Mod 2(b) marketing

Sep 22, 2019
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