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8 Cards in this Set
- Front
- Back
Velocity
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r'
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sped of parameter
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[[r'(t)]]
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acell
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r''
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unit tangent vector
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r'/[[r']]= T(t)
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unit normal vector
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T'(t)/[[T'(t)]]= N(t)
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curvature
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K= T'(t)/r'(t)
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Arc length function
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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. |
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integration by parts:
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integral of u dv = u*v - integral v du
(let u be the trig function) |