CALCULUS PAST PAPERS (QUESTIONS & SOLUTIONS)

1 Compiled by Navan Mudali CALCULUS past PAPERS (QUESTIONS & SOLUTIONS). November 2008. NicZenDezigns Page 1 of 121. Compiled by Navan Mudali NicZenDezigns Page 2 of 121. Compiled by Navan Mudali NicZenDezigns Page 3 of 121. Compiled by Navan Mudali NicZenDezigns Page 4 of 121. Compiled by Navan Mudali NicZenDezigns Page 5 of 121. Compiled by Navan Mudali NicZenDezigns Page 6 of 121. Compiled by Navan Mudali NicZenDezigns Page 7 of 121. Compiled by Navan Mudali November 2009. NicZenDezigns Page 8 of 121. Compiled by Navan Mudali NicZenDezigns Page 9 of 121. Compiled by Navan Mudali NicZenDezigns Page 10 of 121. Compiled by Navan Mudali NicZenDezigns Page 11 of 121. Compiled by Navan Mudali NicZenDezigns Page 12 of 121. Compiled by Navan Mudali February 2010. NicZenDezigns Page 13 of 121. Compiled by Navan Mudali NicZenDezigns Page 14 of 121. Compiled by Navan Mudali NicZenDezigns Page 15 of 121. Compiled by Navan Mudali NicZenDezigns Page 16 of 121.

2 Compiled by Navan Mudali NicZenDezigns Page 17 of 121. Compiled by Navan Mudali NicZenDezigns Page 18 of 121. Compiled by Navan Mudali NicZenDezigns Page 19 of 121. Compiled by Navan Mudali November 2010. NicZenDezigns Page 20 of 121. Compiled by Navan Mudali NicZenDezigns Page 21 of 121. Compiled by Navan Mudali NicZenDezigns Page 22 of 121. Compiled by Navan Mudali NicZenDezigns Page 23 of 121. Compiled by Navan Mudali NicZenDezigns Page 24 of 121. Compiled by Navan Mudali NicZenDezigns Page 25 of 121. Compiled by Navan Mudali NicZenDezigns Page 26 of 121. Compiled by Navan Mudali NicZenDezigns Page 27 of 121. Compiled by Navan Mudali NicZenDezigns Page 28 of 121. Compiled by Navan Mudali NicZenDezigns Page 29 of 121. Compiled by Navan Mudali February 2011. QUESTION 9. Use the definition to differentiate f ( x) 1 3x 2 . (Use first princip les.) (4). 4 1 . Calculate D x 4 3 4 . x x (3). Determine dy dx . 2. if y 1 x.

3 (3). [10]. QUESTION 10. Given: g ( x) ( x 6)( x 3)( x 2). Calculate the y-intercept of g. (1). Write down the x-intercepts of g. (2). Determine the turning points of g. (6). Sketch the graph of g on DIA GRAM SHEET 2. (4). For wh ich values of x is g(x). g / (x) 0? (3). [16]. NicZenDezigns Page 30 of 121. Compiled by Navan Mudali QUESTION 11. A farmer has a piece of land in the shape of a right-angled triangle OMN, as shown in the figure below. He allocates a rectangular piece of land PTOR to his daughter, giving her the freedom to choose P. anywhere along the boundary MN. Let OM = a, ON = b and P(x ; y) be any point on MN. y N (0 ; b). P(x ; y). T. x O R M (a ; 0). Determine an equation of MN in terms of a and b. (2). Prove that the daughter's land will have a maximu m area if she chooses P at the midpoint of MN. (6). [8]. NicZenDezigns Page 31 of 121. Compiled by Navan Mudali NicZenDezigns Page 32 of 121. Compiled by Navan Mudali NicZenDezigns Page 33 of 121.

4 Compiled by Navan Mudali NicZenDezigns Page 34 of 121. Compiled by Navan Mudali NicZenDezigns Page 35 of 121. Compiled by Navan Mudali November 2011. NicZenDezigns Page 36 of 121. Compiled by Navan Mudali NicZenDezigns Page 37 of 121. Compiled by Navan Mudali NicZenDezigns Page 38 of 121. Compiled by Navan Mudali NicZenDezigns Page 39 of 121. Compiled by Navan Mudali NicZenDezigns Page 40 of 121. Compiled by Navan Mudali NicZenDezigns Page 41 of 121. Compiled by Navan Mudali NicZenDezigns Page 42 of 121. Compiled by Navan Mudali NicZenDezigns Page 43 of 121. Compiled by Navan Mudali February 2012. NicZenDezigns Page 44 of 121. Compiled by Navan Mudali NicZenDezigns Page 45 of 121. Compiled by Navan Mudali NicZenDezigns Page 46 of 121. Compiled by Navan Mudali NicZenDezigns Page 47 of 121. Compiled by Navan Mudali NicZenDezigns Page 48 of 121. Compiled by Navan Mudali NicZenDezigns Page 49 of 121. Compiled by Navan Mudali November 2012.

5 NicZenDezigns Page 50 of 121. Compiled by Navan Mudali NicZenDezigns Page 51 of 121. Compiled by Navan Mudali NicZenDezigns Page 52 of 121. Compiled by Navan Mudali NicZenDezigns Page 53 of 121. Compiled by Navan Mudali NicZenDezigns Page 54 of 121. Compiled by Navan Mudali NicZenDezigns Page 55 of 121. Compiled by Navan Mudali NicZenDezigns Page 56 of 121. Compiled by Navan Mudali NicZenDezigns Page 57 of 121. Compiled by Navan Mudali NicZenDezigns Page 58 of 121. Compiled by Navan Mudali February 2013. NicZenDezigns Page 59 of 121. Compiled by Navan Mudali NicZenDezigns Page 60 of 121. Compiled by Navan Mudali NicZenDezigns Page 61 of 121. Compiled by Navan Mudali NicZenDezigns Page 62 of 121. Compiled by Navan Mudali NicZenDezigns Page 63 of 121. Compiled by Navan Mudali NicZenDezigns Page 64 of 121. Compiled by Navan Mudali November 2013. NicZenDezigns Page 65 of 121. Compiled by Navan Mudali NicZenDezigns Page 66 of 121.

6 Compiled by Navan Mudali NicZenDezigns Page 67 of 121. Compiled by Navan Mudali NicZenDezigns Page 68 of 121. Compiled by Navan Mudali NicZenDezigns Page 69 of 121. Compiled by Navan Mudali NicZenDezigns Page 70 of 121. Compiled by Navan Mudali NicZenDezigns Page 71 of 121. Compiled by Navan Mudali February 2014. NicZenDezigns Page 72 of 121. Compiled by Navan Mudali NicZenDezigns Page 73 of 121. Compiled by Navan Mudali NicZenDezigns Page 74 of 121. Compiled by Navan Mudali NicZenDezigns Page 75 of 121. Compiled by Navan Mudali NicZenDezigns Page 76 of 121. Compiled by Navan Mudali November 2014. NicZenDezigns Page 77 of 121. Compiled by Navan Mudali NicZenDezigns Page 78 of 121. Compiled by Navan Mudali NicZenDezigns Page 79 of 121. Compiled by Navan Mudali NicZenDezigns Page 80 of 121. Compiled by Navan Mudali NicZenDezigns Page 81 of 121. Compiled by Navan Mudali NicZenDezigns Page 82 of 121. Compiled by Navan Mudali EXEMPLAR 2014.

7 NicZenDezigns Page 83 of 121. Compiled by Navan Mudali NicZenDezigns Page 84 of 121. Compiled by Navan Mudali NicZenDezigns Page 85 of 121. Compiled by Navan Mudali NicZenDezigns Page 86 of 121. Compiled by Navan Mudali NicZenDezigns Page 87 of 121. Compiled by Navan Mudali February 2015. NicZenDezigns Page 88 of 121. Compiled by Navan Mudali NicZenDezigns Page 89 of 121. Compiled by Navan Mudali NicZenDezigns Page 90 of 121. Compiled by Navan Mudali NicZenDezigns Page 91 of 121. Compiled by Navan Mudali NicZenDezigns Page 92 of 121. Compiled by Navan Mudali NOVEMBER 2015. NicZenDezigns Page 93 of 121. Compiled by Navan Mudali NicZenDezigns Page 94 of 121. Compiled by Navan Mudali NicZenDezigns Page 95 of 121. Compiled by Navan Mudali NicZenDezigns Page 96 of 121. Compiled by Navan Mudali NicZenDezigns Page 97 of 121. Compiled by Navan Mudali NicZenDezigns Page 98 of 121. Compiled by Navan Mudali NicZenDezigns Page 99 of 121.

8 Compiled by Navan Mudali FEBRUARY 2016. NicZenDezigns Page 100 of 121. Compiled by Navan Mudali NicZenDezigns Page 101 of 121. Compiled by Navan Mudali NicZenDezigns Page 102 of 121. Compiled by Navan Mudali NOVEMBER 2016. NicZenDezigns Page 103 of 121. Compiled by Navan Mudali ** SOLUTIONS TO FOLLOW **. FEBRUARY 2017. NicZenDezigns Page 104 of 121. Compiled by Navan Mudali ** SOLUTIONS TO FOLLOW **. NicZenDezigns Page 105 of 121. Compiled by Navan Mudali IEB - 2012. NicZenDezigns Page 106 of 121. Compiled by Navan Mudali NicZenDezigns Page 107 of 121. Compiled by Navan Mudali NicZenDezigns Page 108 of 121. Compiled by Navan Mudali NicZenDezigns Page 109 of 121. Compiled by Navan Mudali NicZenDezigns Page 110 of 121. Compiled by Navan Mudali NicZenDezigns Page 111 of 121. Compiled by Navan Mudali IEB 2013. NicZenDezigns Page 112 of 121. Compiled by Navan Mudali NicZenDezigns Page 113 of 121. Compiled by Navan Mudali NicZenDezigns Page 114 of 121.

9 Compiled by Navan Mudali NicZenDezigns Page 115 of 121. Compiled by Navan Mudali NicZenDezigns Page 116 of 121. Compiled by Navan Mudali NicZenDezigns Page 117 of 121. Compiled by Navan Mudali IEB SUPPLEMENTARY 2014. NicZenDezigns Page 118 of 121. Compiled by Navan Mudali NicZenDezigns Page 119 of 121. Compiled by Navan Mudali NicZenDezigns Page 120 of 121. Compiled by Navan Mudali NicZenDezigns Page 121 of 121.