Question 4 (25 marks) (a) The equation of a curve C is (x + 2)(y +3) =5, for x # -2. The curve C has a tangent line intersects the y axis at y =-3. Find the equation of the tangent line. (7 marks) (b) Evaluate each of the following indefinite integrals (1) [x (4x - 7)3 dx (Hint: Let u = 4x- -7) (6 marks) (ii) (sin @ cos' g sin 0+3 (Hint: Let u = sin 0+3) (6 marks) 3-5x (iii) , 72- 5x+6 -dx (6 marks) ** End of Paper * *