Hits: 44

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/21) | Q#7

Hits: 44 Question The diagram shows the curve The curve crosses the y-axis at the point P and the gradient of the curve at P is m. The point Q on  the curve has x-coordinate q and the gradient of the curve at Q is −m.     i.       Find the value of m and hence […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/21) | Q#6

Hits: 32 Question The parametric equations of a curve are  ,        i.       Find  in terms of t and hence find the coordinates of the stationary point, giving each  coordinate correct to 2 decimal places.    ii.       Find the gradient of the normal to the curve at the point where the curve crosses the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/21) | Q#5

Hits: 11 Question The polynomial  is defined by where  and  are constants. It is given that  is a factor of . It is also given that the remainder is 40 when  is divided by .     i.       Find the values of a and b.    ii.       When a and b have these values, factorise p(x) […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/21) | Q#4

Hits: 35 Question      i.       Find    ii.       Given that find the value of the positive constant a. Solution      i.   We are required to find; We have the trigonometric identity; It can be rearranged as; Therefore;   provided that It can be rearranged as; Therefore; Rule for integration of  is: Rule for integration […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/21) | Q#2

Hits: 26 Question Solve the equation  for . Solution We are given the equation; Using calculator; Using calculator; To find the other solution of  we utilize the odd/even property of . Properties of Domain Range Periodicity Odd/Even Translation/ Symmetry We use odd/even property; Therefore, we have two solutions (roots) of the equation; To find all […]