Difference between revisions of "User:5849206328x"

Latest revision as of 16:35, 1 June 2023

$[asy] size(216); draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5)); label("$ct$",(0,10),N); label("$x$",(10,0),E); label("$ct'$",(5,10),N); label("$x'$",(10,5),E); dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue); label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue); [/asy]$

$[asy] size(216); pair[] nodes; for (int i = 0; i < 10; ++i) { nodes.push(dir(36 * i)); dot(dir(36 * i)); label(string(i), 1.1 * dir(36 * i)); } draw(circle(nodes[0] - 0.1, 0.1), Arrow); draw(nodes[1] -- nodes[7], Arrow); draw(nodes[2] -- nodes[4], Arrow); draw(nodes[3] -- nodes[1], Arrow); draw(nodes[4] -- nodes[8], Arrow); draw(arc(nodes[5] + 0.1, 0.1, 180, 540), Arrow); draw(nodes[6] -- nodes[2], Arrow); draw(nodes[7] -- nodes[9], Arrow); draw(nodes[8] -- nodes[6], Arrow); draw(nodes[9] -- nodes[3], Arrow); [/asy]$

$[asy] unitsize (1 cm); pair A, B, C; A = (3,2); B = intersectionpoint(arc(A,4,200,340),C--(10,0)); C = (0,0); draw(B--A--C--(8,0), Arrow(6)); draw(arc(A,4,200,340), dashed); label("$A$", A, N); label("$B$", B, SE); label("$C$", C, NNW); label("$b$", (A + C)/2, NW); label("$c$", (A + B)/2, NE); label("$\theta$", (1,0.3)); [/asy]$

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Difference between revisions of "User:5849206328x"

Latest revision as of 16:35, 1 June 2023

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 <asy>
-import slopefield;
+size(216);
+draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
+label("$ct$",(0,10),N); label("$x$",(10,0),E);
+label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
+dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
+label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
+</asy>
+<asy>
 size(216);
-real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
+pair[] nodes;
-real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
+for (int i = 0; i < 10; ++i) {
+  nodes.push(dir(36 * i));
+  dot(dir(36 * i));
+  label(string(i), 1.1 * dir(36 * i));
+}
+draw(circle(nodes[0] - 0.1, 0.1), Arrow);
+draw(nodes[1] -- nodes[7], Arrow);
+draw(nodes[2] -- nodes[4], Arrow);
+draw(nodes[3] -- nodes[1], Arrow);
+draw(nodes[4] -- nodes[8], Arrow);
+draw(arc(nodes[5] + 0.1, 0.1, 180, 540), Arrow);
+draw(nodes[6] -- nodes[2], Arrow);
+draw(nodes[7] -- nodes[9], Arrow);
+draw(nodes[8] -- nodes[6], Arrow);
+draw(nodes[9] -- nodes[3], Arrow);
+</asy>
-// Label f;
+<asy>
-// f.p=fontsize(6);
+unitsize (1 cm);
-xaxis(0,5);
-yaxis(0,5);
-//real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x)); }
+pair A, B, C;
-//pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); }
-//draw(graph(f,0,4));
+A = (3,2);
+B = intersectionpoint(arc(A,4,200,340),C--(10,0));
+C = (0,0);
-draw((0,0)--(4,3),EndArrow); draw((4,3)--(24/5,18/5),EndArrow); draw((4,3)--(17/5,19/5),EndArrow);
+draw(B--A--C--(8,0), Arrow(6));
-label("$O$",(0,0),SW); label("$x$",(5,0),SE); label("$y$",(0,5),NW);
+draw(arc(A,4,200,340), dashed);
-label("$\mathbf{r}$",(2,1.5),NW); label("$\hat{\mathbf{r}}$",(24/5,18/5),ENE); label("$\hat{\theta}$",(17/5,19/5),NNW);
-//limits((0,-2),(4,2),Crop);
+label("$A$", A, N);
+label("$B$", B, SE);
+label("$C$", C, NNW);
+label("$b$", (A + C)/2, NW);
+label("$c$", (A + B)/2, NE);
+label("$\theta$", (1,0.3));
 </asy>