16:37 X 03 AS Pure Mathematics Practice... Sketch the graph y - boy. (x + a), a 3 0, for x> -a. Labelling any asymptotes and points of intersection with the x-axis or )-axis, Leave your answers in Terms of a where necessary (6) For x 3 4, describe, with a reason, the relationship between the graphs of y - log (r + a) and y = log ( + (Total 8 marks) On the grid shade the region comprising all points whose coordinates satisfy the inequalities y s de+5, 2+ 156 and 122 (B) Work out the area of the shaded region. (5) (Total 8 marks) 10. A particle P of mass 6 kg moves under the action of two forces, & and F, where F. = (8i - 10j)N and F, - (pi + y)) N. p and q ary constants, The acceleration of Pisa = (31 - 2jms'. (a) Find, to 1 decimal place, the angle between the acceleration and i (1) (h) Find the values of p and 4 (3) (c) Find the magnitude of the resultant force R of the two forces F and /3 Simplify your answer fully. (3) (Total & marks) 11 fix)-x - 7 -24 - 18. (a) Sketch the graph of the gradient function, y = f Use algebrake methods to determine any porims where the graph cuts the coordinate aves and mark these on the graph. Using calculus, find the coordinates of any turning points on the prophe (Total 9 marks) 12 The diagrams shows part of curve with equation y = 1' - 8x + 20 and part of the line with equation y = 3 + 6. Using an appropriate algebraic method, find the coordinates off of and R. (4)