anonymous
  • anonymous
Compute the curvature and the principal unit normal of the elliptical helix described by the equations: x=cost, y=2sint, z=t
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
i differentiated each component and got: x'=-sint, y'=2cost, and z=1
anonymous
  • anonymous
i belive that should be my v(t), now i need to find the magniutude so i computed: \[\sqrt{\sin^2t+4cost+1}\]
anonymous
  • anonymous
how do i go about simplifying that

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anonymous
  • anonymous
im sorry, it should be 4cos^2(t)
dumbcow
  • dumbcow
not sure you can really simplify that cos^2 = 1-sin^2
anonymous
  • anonymous
is the right process i am doing, to compute the k, curvature
dumbcow
  • dumbcow
or sin^2 = 1-cos^2 i believe so but i would have to look it up , i don't work with these very often sorry
anonymous
  • anonymous
alright
dumbcow
  • dumbcow
is the curvature pretty much finding the gradient
anonymous
  • anonymous
i belive it is v/magnitude of v
dumbcow
  • dumbcow
i found this which may help, looks like you need to take 2nd derivatives http://en.wikipedia.org/wiki/Curvature#One_dimension_in_three_dimensions:_Curvature_of_space_curves

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