Hits: 41

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#7

Hits: 41   Question i.       Express  in the form , where  and , stating the exact  value of R and and the value of  correct to 2 decimal places.    ii.       Hence solve the equation Giving all solutions in the interval . Solution      i.  We are given the expression; We are required to write […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#6

Hits: 37     Question A.  Find i.        ii.          B.  Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 2 decimal places. Solution A.    i.   We are required to find; Rule for integration of  is: Rule for integration of  is: Rule for […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#5

Hits: 36 Question The parametric equations of a curve are  ,  , for . i. Show that .    ii. Find the coordinates of the point on the curve at which the gradient is -4. Solution      i.   We are required to show that  for the parametric equations given below; If a curve is […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#3

Hits: 49 Question The equation of a curve is . Find the exact x-coordinate of each of the stationary points of the curve and determine the nature of each stationary point. Solution First we are required to find the exact x-coordinate of each of the stationary points of the curve. A stationary point on the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#2

Hits: 28   Question The diagram shows the curve y = x4 +2x −9. The curve cuts the positive x-axis at the point P. i.               Verify by calculation that the x-coordinate of P lies between 1.5 and 1.6. ii.               Show that the x-coordinate of P satisfies the equation iii.               Use the iterative formula to determine […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#1

Hits: 102     Question Solve the inequality . Solution SOLVING INEQUALITY: PIECEWISE Let, . We can write it as; We have to consider both moduli separately and it leads to following cases; When If then above four intervals translate to following with their corresponding inequality; When When When If then above four intervals translate […]

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