Hits: 93

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/23) | Q#6

Hits: 47 Question The diagram shows the curve  for . The region R is  bounded by the curve, the axes and the line .      i.       Use the trapezium rule with two intervals to find an approximation to the area of  R, giving your answer correct to 3 significant figures.    ii.       The […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/23) | Q#5

Hits: 58 Question A curve has parametric equations      i.       Find the equation of the tangent to the curve at the origin.    ii.       Find the coordinates of the stationary point, giving each coordinate correct to 2  decimal places. Solution i.   We are required to find the equation of tangent to the curve at […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/23) | Q#4

Hits: 36 Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates  and .      i.       Use the factor theorem to show that (x +2) is a factor of    ii.       Show that satisfies an equation of the form , and state the  values of p and […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/23) | Q#3

Hits: 47   Question Solve the equation  for . Solution We are given;   provided that   provided that We have the trigonometric identity; Let , then; For a quadratic equation , the expression for solution is; Where  is called discriminant. If , the equation will have two distinct roots. If , the equation will […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/23) | Q#1

Hits: 33 Question      i.       Solve the equation .    ii.       Hence, using logarithms, solve the equation , giving the  answer correct to 3 significant figures. Solution i.   SOLVING INEQUALITY: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases;  OR We have the equation; We have to […]