PJC H2 MATH P1 ANNEX B

ANNEX B PJC 2011 JC 2 H2 End of Year Examination Paper 1 Qn/No Topic Set Answers 1 Integration Techniques Applications of Integration (i)   21 2 411 tan 2 ln 1 428x xx C    (ii) 3 50.89units 2 Binomial Theorem (i) 2411 3 2 16 256x x (ii) 2311 1 1 2 2 16 16x xx  (iii) 22 x  3 AP/GP (i) 328 24 4 n   (ii) at least 7 times (iii) 28S  4 Summation (i) 11 2N  (ii) 11 4N  (iii) 1lim 1 1 2N N    5 Maclaurin Series 3 2 422 3 xxx 6 Functions (ii) 1 12f: , 2 2 xxx x    (iii)  5gf ln , 2 2 xxx x    7 Parametric Equations (i) 14 12 3yx a , 12 98yx a (ii)  64 , 4aa 8 Differential Equations (i)  0.11 1e2 tx  (iii) 1 2x

9 Complex Numbers (i) iezr  is another root (ii) 2 2z  ,  2 5arg 6z  , 2z is an anti-clockwise rotation of 1z about the origin by 2  . (iii)    22 24 2 34zz z z  10 Curve Transformations (b) 2 4 x 11 Curve Sketching (i) x k , 4yx k  (ii) 0k  or 2k  (iii) 4k  (iv) 1p 12 Vectors (ii) 0 1 7   (iii) 3, 1, 0ab c  , 01 33 , 01 0 r              