GRAFICAS DE FUNCIONES
GRAFICA N°1: clc clear t=[0:pi/100:2*pi]; x=6*cos(t); y=4*sin(t); plot(x,y,'b' plot(x,y,'b', ,'linewidth' 'linewidth',5) ,5) grid on title('\bf\fontname{algerian}\fontsize{15}La title('\bf\fontname{algerian}\fontsize{15}La Elipse') Elipse' ) axis equal axis([-7 7 -5 5])
GRAFICA N°2: clc clear t=[-10*pi:pi/100:10*pi]; x=9*cos(t)+10*cos(9*t/10); y=9*sin(t)-10*sin(9*t/10); plot(x,y,'r','linewidth',2) grid on title('\bf\fontname{Comic Sans MS}\fontsize{15}Hipocicloide') axis equal
GRAFICA N°3: a) R=10, r=2 (observe que R es múltiplo de r), t
∈[0;2
clc clear t=[0:pi/100:2*pi]; x=12*cos(t)-2*cos(6*t); y=12*sin(t)-2*sin(6*t); plot(x,y,'g','linewidth',5) title('\bf\fontsize{15}Epicicloide A') grid on axis equal axis([-15 15 -15 15])
π]
GRAFICA N°3: b) R=10, r=3 (observe que R no es múltiplo de r), t ∈ [0;2 π] clc clear t=[0:pi/100:2*pi]; x=13*cos(t)-3*cos(13*t/3); y=13*sin(t)-3*sin(13*t/3); plot(x,y,'g','linewidth',5) title('\bf\fontsize{15}Epicicloide B') grid on axis equal axis([-20 20 -20 20])
GRAFICA N°3: c)R=10, r=3 pero ahora considere, t ∈ [0;20 π]
clc clear t=[0:pi/100:20*pi]; x=13*cos(t)-3*cos(13*t/3); y=13*sin(t)-3*sin(13*t/3); plot(x,y,'g','linewidth',5) title('\bf\fontsize{15}Epicicloide C') grid on axis equal axis([-20 20 -20 20])
GRAFICA N°4: a) R=10, r=2 (observe que R es múltiplo de r), t ∈ [0;2 π]
clc clear t=[0:pi/100:2*pi]; x=8*cos(t)+2*cos(4*t); y=8*sin(t)+2*sin(4*t); plot(x,y,'m','linewidth',5) grid on axis equal axis([-12 12 -12 12]) title('\bf\fontsize{15}Hipocicloide A')
GRAFICA N°4:
b) R=10, r=3 (observe que R no es múltiplo de r), t ∈ [0;2 π]
clc clear t=0:pi/100:2*pi; x=7*cos(t)+3*cos((7/3)*t); y=7*sin(t)+3*sin((7/3)*t); plot(x,y,'m','linewidth',5) grid on axis equal axis([-12 12 -12 12]) title('\bf\fontsize{15}Hipocicloide B')
GRAFICA N°4: c) R=10, r=3 pero ahora considere t ∈ [0;20 π]
clc clear t=0:pi/100:20*pi; x=7*cos(t)+3*cos((7/3)*t); y=7*sin(t)+3*sin((7/3)*t); plot(x,y,'m','linewidth',5) grid on axis equal axis([-12 12 -12 12]) title('\bf\fontsize{15}Hipocicloide C')
GRAFICA N°5: clc
clear t=[0:pi/100:2*pi]; x1=7*cos(t)-cos(7*t); y1=7*sin(t)-sin(7*t); plot(x1,y1,'g','linewidth',5) hold on fill(x1,y1,'m') x2=6*cos(t); y2=6*sin(t); plot(x2,y2,'k','linewidth',5) fill(x2,y2,'c') x3=5*cos(t)+cos(5*t); y3=5*sin(t)-sin(5*t); plot(x3,y3,'b','linewidth',5) fill(x3,y3,'y') hold off grid on title('\bf\fontname{Comic Sans MS}\fontsize{15}Epicicloide,Circunferencia e Hipocicloide') axis equal axis([-9 9 -9 9])
GRAFICA N°6: clc clear t=0:pi/100:2*pi; x1=24*cos(t); y1=24*sin(t); x2=20*cos(t)+6*cos(5*t); y2=20*sin(t)-6*sin(5*t); plot(x1,y1,'r','linewidth',2) hold on plot(x2,y2,'k','linewidth',2) grid on hold off axis equal axis([-30 30 -30 30]) title('\bf\fontsize{15}Curvas Paramétricas')
Graficas de Curvas en el Espacio, dadas en forma Paramétrica GRAFICA N°7:
clc clear t=[0:pi/100:2*pi]; x=cos(t); y=sin(t); z=0.3*cos(10*t); plot3(x,y,z,'r','linewidth',2) grid on title('\bf\fontsize{15}Curva Paramétrica')
GRAFICA N°8:
clc clear t=-0:pi/100:16*pi; x=t.*cos(t); y=t.*sin(t); z=t; plot3(x,y,z,'g','linewidth',2) grid on title('\bf\fontsize{15}Curva Paramétrica en el Espacio')
Gráficas de Curvas en coordenadas polares
GRAFICA N°9:
clc clear t=0:pi/100:2*pi; r=1-2*sin(9*t); polar(t,r,'r') grid on title('\bf\fontsize{15}Gráfica Bella')
GRAFICA N°10:
clc clear t=0:pi/100:2*pi; r1=6*cos(3*t); r2=3*cos(3*t); r3=cos(3*t); polar(t,r1,'k') hold on polar(t,r2,'r') polar(t,r3,'b') hold off grid on title('\bf\fontsize{15}Rosas de 3 pétalos')
GRAFICA N°11:
clc clear t=0:pi/100:4*pi; r=sin(t)+(sin(5*t/2)).^3; polar(t,r,'b') grid on title('\bf\fontsize{15}Gráfica en Polares')
GRAFICA N°12: clc clear t=0:pi/100:2*pi; r=cos(4*t); y=polar(t,r,'y') set(y,'linewidth',2) grid on title('\bf\fontsize{20}ROSA DE 8 HOJAS')
