Detailed process required

((1) Find an equation of the plane that contains the curve with the given vector equation r(t) 2 (4t, sin(t),t + 8). (1)) Find a vector function, t), that represents the curve of intersection of the paraboloid z = 33:2 l y2 and the parabolic cylinder y = 5:1:2 . (c) Show that the curve with parametric equations m = tcos(t), y = tsin(t), z = t lies on the cone 22 : m2 l y2. Use this fact to help sketch the curve