Question 4 Consider the space curve C parametrized by the vector function If t 3 ?(t) : (4 cos , 3sin , gt), dened for all real numbers 25. (1) Calculate the arc length function. (2) Figure out a parametric equation for the tangent line of C at a general point (4 cos i, 3 sin g, 38), and show that the tangent lines make constant angle with the zaxis. (3) Find out the curvature of C as a function of t. (4) Show that for any real number s, the line with direction vector given by the normal gs) also meets the z axis 0' 5 vector ts) of C which also passes through (4 cos g, 3sin under a constant angle