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

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 t belongs to R:

Find the curvature w.r.t. t of r. (Hint: cos(2t), sin(2t), and cos(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.)

Expert Solution

milcah answered 2 years ago

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