# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | Oct-Nov | (P2-9709/22) | Q#6

Question The polynomial is defined by The diagram shows the curve which crosses the x-axis at  and .      i.       Divide by a suitable linear factor and hence show that is a root of the equation    ii.       Use the iterative formula to find correct to 2 decimal places. Give the   result of each iteration […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | Oct-Nov | (P2-9709/23) | Q#6

Question The diagram shows part of the curve  and its maximum point M. The x-coordinate of M is denoted by m.      i.       Find  and hence show that m satisfies the equation .    ii.       Show by calculation that m lies between 0.7 and 0.8.   iii.       Use an iterative formula based on the equation in […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | Oct-Nov | (P2-9709/21) | Q#6

Question The diagram shows part of the curve  and its maximum point M. The x-coordinate of M is denoted by m.      i.       Find  and hence show that m satisfies the equation .    ii.       Show by calculation that m lies between 0.7 and 0.8.   iii.       Use an iterative formula based on the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/23) | Q#7

Question It is given that i.       Show that    ii.       Show by calculation that the value of a lies between 1.0 and 1.5.   iii.       Use an iterative formula, based on the equation in part (i), to find the value of a correct to 3  decimal places. Give the result of each iteration to […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/22) | Q#7

Question It is given that     i.       Show that    ii.       Show by calculation that the value of a lies between 1.0 and 1.5.   iii.       Use an iterative formula, based on the equation in part (i), to find the value of a correct to 3  decimal places. Give the result of each iteration to […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/21) | Q#4

Question      i.       By sketching a suitable pair of graphs, show that the equation has exactly one real root.    ii.       Show by calculation that the root lies between 2.0 and 2.5.   iii.       Use the iterative formula to find the root correct to 3 decimal places. Give  the result of each iteration to […]