Hits: 52

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/23) | Q#5

Hits: 52 Question It is given that     i.       Show that    ii.       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 5 decimal places. Solution      i.   We are given that; Rule for […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/22) | Q#2

Hits: 26 Question The sequence of values given by the iterative formula With initial value , converges to .        i.       Determine the value of correct to 3 decimal places, giving the result of each iteration to 5  decimal places.    ii.       State an equation satisfied by and hence find the exact value of […]

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

Hits: 31     Question      i.       By sketching a suitable pair of graphs, show that the equation has exactly one real root .    ii.       Verify by calculation that 4.5 < < 5.0. iii.       Use the iterative formula to find correct to 2 decimal places. Give the result  of each iteration to 4 decimal […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/23) | Q#5

Hits: 79 Question      i.       By sketching a suitable pair of graphs, show that the equation has two real root.    ii.       Use the iterative formula to find one of the real roots correct to  3 decimal places. Give the result of each iteration to 5 decimal places.   iii.       Hence find the coordinates of […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/22) | Q#5

Hits: 71 Question      i.       By sketching a suitable pair of graphs, show that the equation has two real root.      ii.       Use the iterative formula to find one of the real roots correct to 3 decimal places. Give the result of each iteration to 5 decimal places.   iii.       Hence find the coordinates […]

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: 65 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: […]