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# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/22) | Q#4

Hits: 30     Question The diagram shows the part of the curve  for .      i.       Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 2 decimal places.    ii.       The line y=x intersects the curve at point P. Use the iterative formula to determine the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/23) | Q#5

Hits: 45     Question The diagram shows the curve , for . A rectangle OABC is drawn, where B is the  point on the curve with x-coordinate , and A and C are on the axes, as shown. The shaded region  R is bounded by the curve and by the lines x = and […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/21) | Q#5

Hits: 22     Question The diagram shows the curve , for . A rectangle OABC is drawn, where B is the  point on the curve with x-coordinate , and A and C are on the axes, as shown. The shaded  region R is bounded by the curve and by the lines x = and […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/23) | Q#6

Hits: 33   Question The parametric equations of a curve are The point P on the curve has parameter p and it is given that the gradient of the curve at P is −1.      i.       Show that .    ii.       Use an iterative process based on the equation in part (i) to find the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/22) | Q#6

Hits: 33   Question The diagram shows the curve , for . The x-coordinate of the maximum point  M is denoted by . i.       Find  and show that  satisfies the equation tan 2x = 2x + 4.    ii.       Show by calculation that  lies between 0.6 and 0.7.   iii.       Use the iterative formula to […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#6

Hits: 40   Question The parametric equations of a curve are The point P on the curve has parameter p and it is given that the gradient of the curve at P is −1.      i.       Show that .    ii.       Use an iterative process based on the equation in part (i) to find the […]