Consider the curve B(s) =((1 + $)/2/3, (1 - s/2/3, s/2)), -1 < s < 1....

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Consider the curve B(s) =((1 + $)³/2/3, (1 - s³/2/3, s/√2)), -1 < s < 1. Simply because we uses for the parameter it does not make it to be the arc-length. (a) Compute B' (s) and verify that ||B'(s)|| = 1 for all s. Now you know that s is the arc-length. (b) Find B, N, the curvature K and the torsion T. Consider the curve B(s) =((1 + $)³/2/3, (1 - s³/2/3, s/√2)), -1 < s < 1. Simply because we uses for the parameter it does not make it to be the arc-length. (a) Compute B' (s) and verify that ||B'(s)|| = 1 for all s. Now you know that s is the arc-length. (b) Find B, N, the curvature K and the torsion T.