Question 2. Consider the parametrization p(t) = (cos(at), sin(at), t) of the helix. 2.1. At what times t does this intersect the sphere {(x, y, 2) s.t. x2 + y' + 22 = 5}? (i.e. for what values of t is p(t) in the sphere?) Note: there are two intersections. [2 + 2 points] 2.2. Give a linear (constant velocity) parametrization of the tangent line to the helix at one of these points. [3 points] 2.3. Give a new parametrization of this tangent line with nonconstant velocity. (Remember to show that the velocity is nonconstant, probably by computing it.) You do not need to write a justification that your function parametrization tangent line, but be warned that if you just change t for t in your linear parametrization, the function that you get does not parametrizatione