Quadratics (CIE-P2-2003) Archives — O/A Level Solutions

Hits: 215

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2003 | Oct-Nov | (P2-9709/02) | Q#5

Hits: 215   Question      i.       By sketching a suitable pair of graphs, for x < 0, show that exactly one root of the equation    is negative.    ii.       Verify by calculation that this root lies between -1.0 and -0.5.   iii.       Use the iterative formula to determine the root correct to 2 decimal places, showing the result of each iteration. […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2003 | Oct-Nov | (P2-9709/02) | Q#1

Hits: 148     Question Solve the inequality . Solution SOLVING INEQUALITY: PIECEWISE Let, . It can be written as; We have to deal with two separate cases; When ; When Therefore; Therefore; Hence, Hence, We have the inequality; It can be written in standard form as; We have to consider two separate cases; When […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2003 | May-Jun | (P2-9709/02) | Q#5

Hits: 829     Question      i.       By sketching a suitable pair of graphs, show that the equation Has exactly one root.    ii.       Verify by calculation that this root lies between 1.0 and 1.4.   iii.       Use the iterative formula  to determine the root correct to 2 decimal places, showing the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2003 | May-Jun | (P2-9709/02) | Q#2

Hits: 224 Question The polynomial  is denoted by .     i.       Find the value of the constant  for which    ii.       Hence solve the equation , giving your answers in an exact form. Solution     i.   We are given that; We are also given that; We equate the two equations. We can expand the R.H.S. Comparing terms on both sides […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2003 | May-Jun | (P2-9709/02) | Q#1

Hits: 199     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 to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2002 | Oct-Nov | (P2-9709/02) | Q#1

Hits: 503     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 […]