Let C he the parametrized curve at) = @(1 + a\". go t)\". %) (a) Determine if t) is a unit-speed curve. (h) Find the arc-length function s(t} of the curve C starting at the point (i, .31), U). (c) Compute the curvature function EU) of the curve C and then simplify it. (d) Compute the torsion function t) of the curve C and then simplifj.r it. (e) Compute the principal normal vector n(t) and the binorInal vector Mt), and then simplify them. (f) Verify that the Frenet-Serret equations are satised. (g) Find a unit vector 3 in R3 such that the angle t) between t(t) and a is a constant function