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Directions: Show all your work neatly and in order. 1. Consider the curve C: r(t) = (t, cos 2t, sin 2t). (a) Find parametric equations

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Directions: Show all your work neatly and in order. 1. Consider the curve C: r(t) = (t, cos 2t, sin 2t). (a) Find parametric equations of the tangent line to C at P(7, 1, 0). (b) Find the arc length of C from t = 0 to t = T. (c) Find the curvature k 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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