Please send me a help. Please show all your work and highlight the answers. Thank you!

Problem 1: Determine a parametric equation (or parameterize) for each of the following curves: (3) the intersection ofthe planes Jr 23; +3 = 4,21 +3: 2 = i] {h} the curve I: + ya = 16 (c) the intersection of the plane 41: y + z = 3 and the circular cylinder 3:2 + 22 = 1 (Ans(c): x = cost,}r = 4cost+sint 3,2: sint} Problem 2: Find the parametric equation for curves C1 and C2 according to the labeled moving direction as shown in the graph. The equation for C1 is y = x3. tuna) (1.1.11 my C: Problem 3: Calculate the derivative and integration of the x c, following vector function (1' I'm t) = (:2 4)r+ 1K: 4)j'+ 32% Problem 4: Given a helix, t) = 3 cos t i + 3 sin E} + ZtE, do the following: (a) Find the unit tangent vector fand unit normal vector 1? to when t = E. (Ans: g) =$(gt+$j+ 20E), EEG) = \"iEt+%j)). (13} Find the line that goes through the point at t = E and is tangent to the helix. (c) Find the plane that goes through the point at t = Eand is normal to the unit normal vector _.n._ N