Question: Let. 3: (-1, 1) - R be a curve defined by B(s) = (1 - $)3/2 (1 + $ )3/2 3 3 (i) Show that

Let. 3: (-1, 1) - R be a curve defined by B(s) = (1 - $)3/2 (1 + $ )3/2 3 3 (i) Show that S is a unit speed curve, and find the tangent vector field of B. (ii) Calcluate the curvature function of 8, and find the principal normal vector field of B. (iii) Find the binormal vector field of 8, and calculate the torsion function of B. (iv) Sketch B

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