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?