Exercice 6#On d\351fnit la param\351trisationrestart;x:=t->t/(1+t^4);y:=t->(t^3)/(1+t^4);NiM+SSJ4RzYiZio2I0kidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiY5JCIiIiwmRi5GLiokRi0iIiVGLiEiIkYlRiVGJQ==NiM+SSJ5RzYiZio2I0kidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiY5JCIiJCwmIiIiRjAqJEYtIiIlRjAhIiJGJUYlRiU=Domaine d'Etude#R\351duisons l'intervalle d'\351tude \340 0..infinity, En effet[x(-t),y(-t)]=[-x(t),-y(t)];NiMvNyQsJComSSJ0RzYiIiIiLCZGKUYpKiRGJyIiJUYpISIiRi0sJComRiciIiRGKkYtRi1GJA==evalb(%);NiNJJXRydWVHSSpwcm90ZWN0ZWRHRiQ=#Donc la partie de courbe correspondant aux param\351tres n\351gatifs se d\351duira par sym\351trie / \340 O#R\351duisons l'intervalle d'\351tude \340 0..1, En effet[x(1/t),y(1/t)]=[y(t),x(t)];NiMvNyQqJkkidEc2IiEiIiwmIiIiRioqJEYmISIlRipGKComRiYhIiRGKUYoNyQqJkYmIiIkLCZGKkYqKiRGJiIiJUYqRigqJkYmRipGMkYosimplify(%);NiMvNyQqJkkidEc2IiIiJCwmIiIiRioqJEYmIiIlRiohIiIqJkYmRipGKUYtRiQ=evalb(%);NiNJJXRydWVHSSpwcm90ZWN0ZWRHRiQ=Donc la partie de courbe correspondant aux param\351tres plus grand que 1 se d\351duira par sym\351trie / \340 la premi\350re bissectriceCalculons le vecteur vitesseVt:=[D(x)(t),D(y)(t)];NiM+SSNWdEc2IjckLCYqJCwmIiIiRioqJEkidEdGJSIiJUYqISIiRioqJkYsRi1GKSEiIyEiJSwmKiZGLCIiI0YpRi4iIiQqJkYsIiInRilGMEYxVt:=simplify(Vt);NiM+SSNWdEc2IjckLCQqJiwmISIiIiIiKiRJInRHRiUiIiUiIiRGKywmRitGK0YsRishIiNGKiwkKihGLSIiIywmISIkRitGLEYrRitGMEYxRio=V:=unapply(Vt,t);NiM+SSJWRzYiZio2I0kidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlNyQsJComLCYhIiIiIiIqJDkkIiIlIiIkRjEsJkYxRjFGMkYxISIjRjAsJCooRjMiIiMsJiEiJEYxRjJGMUYxRjZGN0YwRiVGJUYlNiM3JCIiISwkKiQiIiQjIiIiIiIjRig=Cette courbe est r\351guli\350reTangente aux points A=M(0)=(0,0), B=M((1/3)^(1/4))=(0,0) et C=M(1)=(1/2,1/2)Ces tangentes sont dirig\351es par les vecteursV(0);V((1/3)^(1/4));V(1);NiM3JCIiIiIiIQ==NiM3JCMhIiIiIiMjIiIiRiY=D'o\371 les \351quations param\351tr\351es des tangentesXTA:=x(0)+t*op(1,V(0));YTA:=y(0)+t*op(2,V(0));NiM+SSRYVEFHNiJJInRHRiU=NiM+SSRZVEFHNiIiIiE=XTB:=x(1)+t*op(1,V((1/3)^(1/4)));YTB:=y(1)+t*op(2,V((1/3)^(1/4)));NiM+SSRYVEJHNiIjIiIiIiIjNiM+SSRZVEJHNiIsJiMiIiIiIiNGKComSSJ0R0YlRigiIiRGJ0YnXTC:=x(1)+t*op(1,V(1));YTC:=y(1)+t*op(2,V(1));NiM+SSRYVENHNiIsJiMiIiIiIiNGKEkidEdGJSMhIiJGKQ==NiM+SSRZVENHNiIsJiMiIiIiIiNGKEkidEdGJUYnEqTA:=[XTA,YTA,t=-infinity..infinity]:EqTB:=[XTB,YTB,t=-infinity..infinity]:EqTC:=[XTC,YTC,t=-infinity..infinity]:Etude des variations de x et yplot(x);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plot(y);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varx:=D(x)(t)/abs(D(x)(t)):vary:=D(y)(t)/abs(D(y)(t))/2:On trace en rouge le signe x' et en vert le signe de y'plot([varx,vary],t=0..1,discont=true,thickness=[3,3]);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support de la courbetotal:=[x(t),y(t),t=-infinity..infinity]: 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