Let: where t = [0, л], be a parameterization of a curve C. a. Find the velocity vector v(t), and the acceleration vector

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Let: where t = [0, л], be a parameterization of a curve C. a. Find the velocity vector v(t), and the acceleration vector a(t). b. Show that |v(t) is constantly equal to, and find the length of C. c. Show that C has a constant curvature. d. Curve C lies in a plane. Find the equation for this planet. e. What kind of curve is C? F(t) = [2(cost - sin t), 2√3+ cost + sint, 2 − √3(cost + sint sint)],