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[✓] Create a manipulate function for multiple parametric graphs?

Posted 10 months ago
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I have 4 vectors

r(t) = <Cost,Sint,t>

r(t) = <Cos4t,Sin4t,4t>

r(t) = <Cost/2,Sint/2,t/2>

r(t) = <Cost,-Sint,-t>

How to create one of those graphs where you can check a box for each graph to show up, and also have a manipulate slider to show the arclength of each curve from {min, max} for the t values?

This may be a start:

Manipulate[
 ParametricPlot3D[funcs, {t, 0, 2 Pi}], {funcs, 
  ListPicker[#1, 
    Table[{Cos[n t], Sin[n t], n t}, {n, {1, 4, 1/2, -1}}]] &}]
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