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| <asy> | | <asy> |
− | import slopefield;
| + | size(216); |
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− | size(288);
| + | 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); |
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− | real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
| + | dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue); |
− | real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
| + | label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue); |
− | | |
− | //xaxis(0,5);
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− | //yaxis(-2,3);
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− | | |
− | //real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
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− | pair g(real t) { return (20/13,48/13) + (1.5 * cos(pi * t/180), -1.5 * sin(pi * t/180)); }
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− | | |
− | draw((-12,5)--(12,-5)--(2,-5),linewidth(2)); draw(circle((20/13,48/13),4));
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− | draw((-5/26,-12/26)--(-77/26,18/26),EndArrow); draw((0,0)--(50/13,120/13),EndArrow); draw((20/13,48/13)--(20/13,-4),EndArrow);
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− | label("$\alpha$",(9,-5),N); label("$F$",(-77/26,18/26),SW); label("$N$",(50/13,120/13),NE); label("$Mg$",(20/13,-4),W); | |
− | | |
− | //limits((-25,-25),(50,25),Crop);
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− | </asy>
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− | | |
− | | |
− | <!--
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− | 3D graphs
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− | <asy>
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− | import graph3;
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− | import three;
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− | | |
− | size(288);
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− | | |
− | real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
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− | real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
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− | | |
− | currentprojection=orthographic(2,-2,1);
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− | xaxis3("$x$",0,5);
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− | yaxis3("$y$",0,5);
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− | zaxis3("$z$",0,5);
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− | | |
− | //real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
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− | //triple g(real t) { return (2 * cos(pi * t/180), 2 * sin(pi * t/180), 2.5); }
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− | //triple rot(real t) { return (0.2 * cos(pi * t/180), 0.2 * sin(pi * t/180), 4.5); }
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− | | |
− | draw(scale(3,2,2)*unitdisk,palegrey); draw(graph(rot,-180,93),EndArrow3);
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− | draw((0,0,5)--(0,0,0)); draw((0,5,0)--(0,0,0)); draw((5,0,0)--(0,0,0));
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| </asy> | | </asy> |
− | -->
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