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8 Cards in this Set

  • Front
  • Back
Velocity
r'
sped of parameter
[[r'(t)]]
acell
r''
unit tangent vector
r'/[[r']]= T(t)
unit normal vector
T'(t)/[[T'(t)]]= N(t)
curvature
K= T'(t)/r'(t)
Arc length function
S(t)=integral from 0 to t, [[r'(u)]]du (which gives an S, put into each place of 't' in the 'r' vv-function.

if [[r'(s)]]=1, then its the arc length parameter.
integration by parts:
integral of u dv = u*v - integral v du

(let u be the trig function)