Hits: 27

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#8

Hits: 27 Question      i.       Show that .    ii.       Using the identity in part (i),                a.   find the least possible value of as x varies.                             b.  find the exact value of Solution      […]

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#3

Hits: 40 Question      i.       Find    ii.       Without using a calculator, find the exact value of Solution      i.   We are required to find; We know that ; Therefore; Hence; Rule for integration of  is: Rule for integration of  is: Rule for integration of  is:    ii.   We are required to find […]

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#6

Hits: 34 Question      i.       Show that    ii.       Solve the equation for .   iii.       Find the exact value of Solution      i.   We are required to show that; Since ; Therefore; provided that ii.   We are required to solve the equation for . We are given that; As demonstrated in (i); […]

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#3

Hits: 26 Question The definite integral  is defined by    i.   Show that  .    ii.   Sketch the curve  for .   iii.   State whether an estimate of obtained by using the trapezium rule will be more than or less than 8e −2. Justify your answer. Solution      i.   We are given that; Rule […]

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#5

Hits: 29   Question      i.       Show that    ii.       Hence find the exact value of; Solution      i.   We are required to show that; Since ; Therefore; ii.   We are required to find the exact value of; As demonstrated in (i); Therefore; 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 2016 | Oct-Nov | (P2-9709/21) | Q#4

Hits: 30 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 | (P2-9709/21) | Q#7

Hits: 43 Question      i.       Find      ii.       Without using a calculator, find the exact value of giving your answer in the form , where a and b are integers.   Solution      i.   We are required to find;   provided that   Rule for integration of  is: We integrate both parts  and […]