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 (i) [x' (4x2 - 7)2 dx (Hint: Let u =4x- -7) (6 marks) (ii) [ sin Ocos' 0 10 (Hint: Let u = sin' 0+3) (6 marks) sin 0 +3 3-5x (iii) dx Js (6 marks) x2 - 5x+6 ** End of Paper ***