formula-test1

formula-test1 - MATH 2ZZ3 — Winter 2011 12 Some formulas...

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Unformatted text preview: MATH 2ZZ3 — Winter 2011 12 Some formulas you may use: T(t) = aT = r (t) , r (t) N(t) = T (t) , T (t) v·a r (t) · r (t) = , v r (t) aN = κv 2 = 2 cos α cos β = cos(α − β ) + cos(α + β ), 2 sin α cos β = sin(α + β ) + sin(α − β ), ∞ a0 f (x) = + 2 n=1 an cos κ(t) = nπx p T (t) r (t) × r (t) = . r (t) r (t) 3 v×a r (t) × r (t) = v r (t) 2 sin α sin β = cos(α − β ) − cos(α + β ), cosh t = + bn sin et + e−t , 2 nπx p , sinh t = et − e−t 2 −p < x < p, where, 1 an = p THE END p f (x) cos −p nπx p dx, 1 bn = p p f (x) sin −p nπx p dx. ...
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This document was uploaded on 03/29/2012.

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