1) Let z = Vx + y and r(t) =. a) In your own words, describe the image of the parametric curve r(t) on the surface given by z. b) Use the Chain Rule to compute dz dt c) Compute the curvature of the curve on the surface when t = . [Hint: Define R(t) =] d) Compute the equation of the osculating circle for the curve on the surface when t =