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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/21) | Q#7

Hits: 55 Question The equation of a curve is y3+4xy=16      i.       Show that .    ii.       Show that the curve has no stationary points.   iii.       Find the coordinates of the point on the curve where the tangent is parallel to the y-axis. Solution      i.   We are required to find . Hence; […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/21) | Q#6

Hits: 20 Question     i.       Prove that  .    ii.       Hence A.  Solve the equation  for . B.  Find the exact value of Solution      i.  We are given that;   provided that   provided that    ii.  a.  We are required to solve the equation; As demonstrated in (i); Hence;   provided that Now […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/21) | Q#5

Hits: 16 Question i.       Given that show that the positive constant a satisfies the equation    ii.       Use an iterative formula, , with  to find the value of correct to 3 decimal places. Give the result of each iteration to 5 decimal places. Solution      i.  We are given that; Rule for integration of  is: […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/21) | Q#4

Hits: 11 Question The polynomials f(x) and g(x) are defined by;  and where a and b are constants. It is given that (x + 2) is a factor of f(x). It is also given that, when g(x)  is divided by (x + 1), the remainder is −18.     i.       Find the values of a and […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/21) | Q#2

Hits: 56 Question The variables x and y satisfy the equation where A and p are constants. The graph of against x is a straight line passing through the  points (2,1.60) and (5, 2.92) as shown in the diagram. Find the values of A and p correct to 2  significant figures. Solution We are given; […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/21) | Q#1

Hits: 209   Question      i.       Solve the equation .    ii.       Hence, using logarithms, solve the equation , giving the answer  correct to 3 significant figures. Solution i.   SOLVING EQUATION: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases;  OR We have the equation; […]