Question: 1. Consider the curve C : r(t) = < t, cos 2t, sin 2t > (a) Find parametric equations of the tangent line to C

1. Consider the curve C : r(t) = < t, cos 2t, sin 2t >

(a) Find parametric equations of the tangent line to C at P(, 1, 0).

(b) Find the arc length of C from t = 0 to t = .

(c) Find the curvature of C at any point t.

(d) Find the normal vector N(t) at any point t

(e) Find the binormal vector B(t) at any point t.

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