Hits: 60

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#5

Hits: 60     Question The diagram shows part of the curve and its maximum point M. The shaded region is bounded by the curve, the axes and the line  through M parallel to the y-axis.      i.       Find the exact value of the x-coordinate of M.    ii.       Find the exact value of the […]

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#3

Hits: 39   Question A.         Find B.         Find the exact value of Solution A.   We are required to find; We know that; It can be written for  as; It can be rearranged as; Hence, integral can be written as; 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 2014 | Oct-Nov | (P2-9709/21) | Q#3

Hits: 38   Question A.         Find B.         Find the exact value of Solution A.   We are required to find; We know that; It can be written for  as; It can be rearranged as; Hence, integral can be written as; 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 2014 | May-Jun | (P2-9709/23) | Q#3

Hits: 62 Question A.         Find B.   i.       Use the trapezium rule with three intervals to find an approximation to giving your answer correct to 3 significant figures. Solution A.   We are required to find; Rule for integration of  is: B.   i.   We are required to apply Trapezium Rule to evaluate; The […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/22) | Q#3

Hits: 57   Question A.         Find B.   i.       Use the trapezium rule with three intervals to find an approximation to giving your answer correct to 3 significant figures. Solution A.   We are required to find; Rule for integration of  is:   B.   i.   We are required to apply Trapezium Rule 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#5

Hits: 86   Question i.       Prove that  .    ii.       Hence a.  Find the exact value of b.  Evaluate Solution      i.   We are given that; except where  or undefined   provided that We have the trigonometric identity; Therefore; Hence;      ii.   a.   We are required to find the exact value […]

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