Difference between revisions of "User:5849206328x"

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<asy>
 
<asy>
size(216);
+
size(288);
  
 
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
 
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
  
//xaxis(-1,5);
+
xaxis(-3,11);
//yaxis(-1,5);
+
yaxis(-2,12);
  
//real f(real x) { return abs(x); }
+
real f(real x) { return (x/2 + 1) * (x/2 - 2) * (x/2 - 3); }
  
draw((2,3)--(0,0)--(4,0),Arrows); draw((0,0)--(2,0),EndArrow); draw((2,0)--(2,3),dashed); draw(rightanglemark((4,0),(2,0),(2,3),4));
+
draw(graph(f,-3,11)); draw((0,6)--(8,10));
  
label("$\mathbf{a}$",(4,0),E); label("$\mathbf{b}$",(2,3),NE); label("$\mathbf{b}_{\parallel}$",(2,0),S); label("$\theta$",(0.3,0.1),NE);
+
dot((0,6)); dot((8,10)); dot((-2,0)); dot((4,0)); dot((6,0));
 +
label("$A$",(0,6),NW); label("$B$",(8,10),E); label("$(-1,0)$",(-2,0),SE); label("$(2,0)$",(4,0),SW); label("$(3,0)$",(6,0),SE);
  
//limits((-1,-4),(6,6),Crop);
+
limits((-3,-3),(11,12),Crop);
 
</asy>
 
</asy>
  

Revision as of 11:13, 12 December 2015

[asy] size(288);  pair A, B, C, D; A = (0,0); B = (5,0); C = (7,4); D = (2,4); draw((-1,0)--(8,0)); draw((-1,4)--(8,4)); draw((-1,-2)--(3,6)); draw((4,-2)--(8,6)); draw((-1,-4/7)--(8,32/7)); draw((13/2,-2)--(1/2,6));   dot(A); dot(B); dot(C); dot(D); label("$A$",A,NW); label("$B$",B+(0,-1/5),S); label("$C$",C,SE); label("$D$",D+(0,1/5),N);  label("$64^\circ$",D+(1/10,-1/2),S); label("$34^\circ$",(-7/10,-11/14)); label("$x$",(5/2,15/4)); label("$y$",(25/4,15/4)); label("$z$",(3,2)); [/asy]

[asy] size(288);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  xaxis(-3,11); yaxis(-2,12);  real f(real x) { return (x/2 + 1) * (x/2 - 2) * (x/2 - 3); }  draw(graph(f,-3,11)); draw((0,6)--(8,10));  dot((0,6)); dot((8,10)); dot((-2,0)); dot((4,0)); dot((6,0)); label("$A$",(0,6),NW); label("$B$",(8,10),E); label("$(-1,0)$",(-2,0),SE); label("$(2,0)$",(4,0),SW); label("$(3,0)$",(6,0),SE);  limits((-3,-3),(11,12),Crop); [/asy]

[asy] import three; import graph3; currentprojection=orthographic(4,-4,1); size(288);  //xaxis3("$A$",0,3); //yaxis3("$A'$",0,3); zaxis3("$\hat{\mathbf{n}}$",0,1);  draw((3,0,0)--(0,4,0)--(-3,0,0)--(0,-4,0)--cycle); draw((1,0,1)--(0,0,0)--(1,0,-1)); draw((0,0,0)--(1,0,0)); draw((1,0,1)--(1,0,-1),dashed);  label("$\mathbf{x}$",(1,0,1),E); label("$\mathbf{x}'$",(1,0,-1),E); [/asy]