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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/23) | Q#7

Hits: 79 Question The equation of a curve is      i.       Show that;    ii.       Find the x-coordinate of each stationary point of the curve in the interval . Give each answer correct to 3 significant figures. Solution      i.   We are required to show that; We are given; We utilize Quotient Rule to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/23) | Q#6

Hits: 30 Question     i.       Express  in the form , where  and . Give the  value of  correct to 2 decimal places.    ii.       Hence solve the equation for .   iii.       State the greatest and least values of as  varies. 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 2015 | Oct-Nov | (P2-9709/23) | Q#5

Hits: 28 Question It is given that     i.       Show that    ii.       Use an iterative formula based on the equation in part (i) to find the value of a correct to 3  decimal places. Give the result of each iteration to 5 decimal places. Solution      i.   We are given that; Rule for […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/23) | Q#4

Hits: 24 Question     i.       Find the quotient when   is divided by  ,  and show that the remainder  is 39.    ii.       Hence, show that the equation  has exactly one real root. Solution      i.   Hence quotient is and remainder is .    ii.   We are required to factorise; When a polynomial, , […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/23) | Q#2

Hits: 80   Question      i.       Solve the equation .    ii.       Hence, using logarithms, solve the equation , giving the answer correct to  3 significant figures. Solution i.   SOLVING EQUATION: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases;  OR We have the equation; […]