Hits: 65

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Feb-Mar | (P2-9709/22) | Q#7

Hits: 65   Question The diagram shows part of the curve The shaded region is bounded by the curve and the two axes.        i. Show that  can be expressed in the form where the values of the constants  and are to be determined.    ii.Find the exact area of the shaded region. Solution […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/23) | Q#4

Hits: 42 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 | (P2-9709/22) | Q#6

Hits: 39 Question      i.       Find the exact value of    ii.       Given that Find the value of positive constant a. Solution      i.   We are required to find; Rule for integration of  is: Rule for integration of  is: Rule for integration of  is: Rule for integration of  is:      ii.   We […]

# 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 | May-Jun | (P2-9709/23) | Q#7

Hits: 25 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 | (P2-9709/22) | Q#7

Hits: 62 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 | (P2-9709/21) | Q#6

Hits: 66 Question The diagram shows the curve  for . The shaded region is bounded by the  curve and the lines , and y = 0.      i.       Use the trapezium rule with two intervals to find an approximation to the area of the shaded  region, giving your answer correct to 3 significant figures.     […]