Question 4 Consider the space curve C parametrized by the vector function If t 3 7(75) : (4 cos B, 3sin g, 575), dened for all real numbers t. Calculate the arc length function. 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. Find out the curvature of C as a function of t. Show that for any real number s, the line with direction vector given by the normal g, gs) also meets the z axis vector 3(8) of C which also passes through (4 cos g, 3sin under a constant angle