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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#8

Hits: 28 Question The diagram shows the curve with parametric equations for . The end-points of the curve are (1, 4) and (3, 3). i.       Show that .    ii.       Find the coordinates of the minimum point, giving each coordinate correct to 3 significant  figures.   iii.       Find the exact gradient of the normal to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#7

Hits: 13 Question a)   Find b)    i.    Find ii.    Hence find giving your answer in the form . Solution a)     We are required to find; Rule for integration of  is: First we integrate . From  we can obtain; Rule for integration of  is: Rule for integration of  is: Rule for integration of  is: […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#6

Hits: 11 Question     i.       Use the factor theorem to show that (x+2) is a factor of the expression and hence factorise the expression completely.    ii.       Deduce the roots of the equation Solution      i.   We are given that; We are also given that is a factor of . When a polynomial, , […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#5

Hits: 8 Question The variables x and y satisfy the equation , where K and a are constants. The graph of ln y  against x is a straight line passing through the points (0.6, 1.81) and (1.4, 1.39), as shown in the  diagram. Find the values of K and a, correct to 2 significant figures. […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#3

Hits: 8   Question      i.       By sketching a suitable pair of graphs, show that the equation has exactly one real root.    ii.       Use the iterative formula to find the root correct to 4 significant figures. Give the result of each iteration to 6 significant  figures. Solution      i.   We are required to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#1

Hits: 7 Question Solve the equation , giving x in terms of the positive constant a. Solution Let, . We have to consider both moduli separately and it leads to following cases;  OR We have the equation; We have to consider both moduli separately and it leads to following cases; Please follow and like us: