Hits: 21

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Feb-Mar | (P2-9709/22) | Q#4

Hits: 21 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 2016 | Oct-Nov | (P2-9709/23) | Q#1

Hits: 22 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 2016 | Oct-Nov | (P2-9709/22) | Q#5

Hits: 71 Question The diagram shows the curve and its stationary point M. The x-coordinate of M is m.       i.       Find an expression for and hence show that .    ii.       Use an iterative formula based on the equation in part (i) to find the value of m correct to 4  significant figures. Give […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/21) | Q#4

Hits: 37 Question     i.       It is given that the positive constant a is such that    ii.       Show that   iii.       Use an iterative formula , to find 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 2016 | May-Jun | (P2-9709/23) | Q#5

Hits: 29 Question The equation of a curve is  . At the point on the curve with x-coordinate p, the gradient of  the curve is .      i.       Show that .      ii.       Show by calculation that 3.3 < p < 3.5.     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 2016 | May-Jun | (P2-9709/22) | Q#5

Hits: 45 Question The equation of a curve is  . At the point on the curve with x-coordinate p, the gradient of  the curve is .      i.       Show that .      ii.       Show by calculation that 3.3 < p < 3.5.     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 2016 | May-Jun | (P2-9709/21) | Q#6

Hits: 61 Question The equation of a curve is  . At the point on the curve with positive x-coordinate p, the gradient of the curve is .        i.       Show that .      ii.       Show by calculation that 2 < p < 3.     iii.       Use an iterative formula based on the equation […]