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#1

Question Use the trapezium rule with four intervals to find an approximation to Solution We are required to apply Trapezium Rule to evaluate; The trapezium rule with  intervals states that; We are given that there are four intervals, . We are also given that and . Hence; 1 2 3 4 5 Therefore;

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#1

Question Use the trapezium rule with four intervals to find an approximation to Solution We are required to apply Trapezium Rule to evaluate; The trapezium rule with  intervals states that; We are given that there are three intervals, . We are also given that and . Hence; 1 2 3 4 5 Therefore;

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

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 trapezium rule […]

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

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 | (P2-9709/21) | Q#6

Question i.       Show that ii.       Use the trapezium rule with four intervals to find an approximation to giving your answer correct to 3 significant figures. Solution i.   We are required to show that; Rule for integration of  is: This integral is valid only when . Division Rule; Power Rule; ii.   We are […]