Hits: 38

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#6

Hits: 31   Question A.         Find B.   i.       Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 3 decimal places. ii.       Using a sketch of the graph of  for , explain whether the trapezium rule  gives an under-estimate or an over-estimate of the true value of […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#5

Hits: 45   Question The parametric equations of a curve are      i.       Find the exact value of the gradient of the curve at the point P where y = 6.    ii.       Show that the tangent to the curve at P passes through the point . Solution      i.   We are need  for […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#4

Hits: 28 Question i.       The polynomial , where a is a and b are constants, is denoted by . It is  given that  and (x + 2) are factors of p(x). Find the values of a and b.  ii.       When a and b have these values, factorise p(x) completely. Solution      i.   We are […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#3

Hits: 25 Question Solve the equation , giving all solutions in the interval . Solution We are required to solve the equation; We know that;   provided that   provided that Hence; We have the trigonometric identity; From this we can get; Therefore; Let ; Now we have two options. Since Using calculator we can […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#2

Hits: 11   Question The curve  has one stationary point. Find the coordinates of this stationary point. Solution We are required to find the coordinates of point M which is minimum point of the curve; A stationary point on the curve is the point where gradient of the curve is equal to zero; Since point […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#1

Hits: 4 Question i.       Find ii.       Hence find , expressing your answer in the form ln a, where a is an integer. Solution i.   We are required to find; Rule for integration of  is: This integral is valid only when . ii.   We are required to find; Rule for integration of  is: This […]