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  3. let r : r->r3 be a path with constant speed, sa

Let r : R->R3 be a path with constant speed, satisfying r\"(t) = (4 sin(2t))i + (-4...

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Basic Math

Let r : R->R3 be a path with constant speed,satisfying

r\"(t) = (4 sin(2t))i + (-4 cos t)j + (4 cos(2t))k for all tbelongs to R:

Find the curvature w.r.t. t of r. (Hint: cos(2t), sin(2t), andcos(t) are linearly independent. i.e. if c1cos(2t) +c2sin(2t)+
c3cos(t) = 0 for all t belongs to R, then c1= c2 = c3 = 0.)

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