7/23/2019 Tarea de Ejercicios Metodos#

http://slidepdf.com/reader/full/tarea-de-ejercicios-metodos 1/3

EJERCICIO 11.4Pregunta 1

A=sym('x^2 +5*y -3*z^3=15')A =x^2 +5*y -3*z^3=15

B=sym('4*x + y^2 -z = 10')B =4*x + y^2 -z = 10C=sym('x + y + z =15')C =x + y + z =15[X,Y,Z]=sol!(A,B,C)X =11"5#02$1$2010%41%%1%14$$$$$0$102-11"1%34%1##3&$4&2&000#353&#34033#*10"21&253&2&%$544#0%35%244&&31$54-

4"&22&311#4%14%%5$4152$&%2101&%54*1#"%%$12101%##2%01&#4$3421$025#12-

7/23/2019 Tarea de Ejercicios Metodos#

http://slidepdf.com/reader/full/tarea-de-ejercicios-metodos 2/3

4"21&&5#3%351#%#4&#5&$&0523110#&$*1#"%%$12101%##2%01&#4$3421$025#12+4"21&&5#3%351#%#4&#5&$&0523110#&

11.8

1" ('x^2+x+1')s =2*x+1('s!(x)')s =os(x) o !. x omo sm/lox=sym('x')x =x

((x))s =1+(x)^2(lo(x))s =1x2" ('*x^2 + /*x + ')s =2**x+/('x^0"5 - 3*y')s ="5x^"5('(x+y)')s =1+(x+y)^2('3*x + 4*y - 3*x*y')s =3-3*y

('y^2-1','y')s =

2*y o, o ! slo !xs! 6/l!('y^2-1')s =2*y('2*y + 3*x^2','y')s =2('*y + /*x + *x','y')s =

7/23/2019 Tarea de Ejercicios Metodos#

http://slidepdf.com/reader/full/tarea-de-ejercicios-metodos 3/3

11.9

1" ('x^2 + x + 1')s =13*x^3+12*x^2+x

o !. x omo sm/lx=sym('x')x =x(x^2 + x + 1)s =13*x^3+12*x^2+x(s(x))s =-os(x)((x))

s =-lo(os(x))(lo(x))s =x*lo(x)-x2" o !!s !s7!.6 ! l !6 !s o 6!s7!o ! x, 7o6! !s 7o6 !8!o('*x^2 + /*x + ')s =13**x^3+12*/*x^2+*x

('x^0"5 - 3*y')s ="###############################&*x^(32)-3"*x*y('(x+y)')s =12*lo(1+(x+y)^2)('3*x + 4*y -3*x*y')s =32*x^2+4*x*y-32*y*x^2

4" ('y^2-1')

s =13*y^3-y('2*y+3*x^2','y')s =y^2+3*y*x^2('*y + /*x + *z','y')s =12**y^2+/*x*y+*z*y