Question 4 Consider the space curve C parametrized by the vector function t t 3 7(t) = (4 cos 37 3sin 3, Et), 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 is), 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 vector hs) of C which also passes through (4cos ,35i11, gs) also meets the z axis under a constant angle