Find the equations of the following tangents and normals

Question 1 (a) Find the equations of the tangent and normal to the following curves at the given point; (i) y = x2 - 2; at (-3,7) [5 Marks] (ii) y = 2x3 - x - 1; at (-1,-2) [5 Marks] (b) The distance s m of a particle moving in a straight line measured from a fixed point O on the line is given by s = tz - 5t + 6, where t is the time in seconds from the start. Find (i) Its initial distance from O, [5 Marks] (ii) Its initial velocity and acceleration [5 Marks] Question 2