Hits: 27

Please follow and like us:
error0

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#7

Hits: 27   Question (i)       Show that (2 sin x + cos x)2 can be written in the form (ii)        Hence find the exact value of  Solution      i.   We are given that; We have formula; Therefore; Therefore; Therefore;    ii.   We are required to find the exact value of; From […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#6

Hits: 19   Question The parametric equations of a curve are The point P on the curve has parameter p and it is given that the gradient of the curve at P is −1.      i.       Show that .    ii.       Use an iterative process based on the equation in part (i) to find the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#5

Hits: 13     Question The diagram shows the curve  and its minimum point M.      i.       Show that the x-coordinate of M can be written in the form , where the value of a is to be  stated.    ii.       Find the exact value of the area of the region enclosed by the curve […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#4

Hits: 7     Question      i.       Given that , find the value of .    ii.       Hence, showing the use of an appropriate formula in each case, find the exact value of a.   b.   Solution      i.   We are given that; We have trigonometric identity; Let , then; Since , therefore;      […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#3

Hits: 5   Question The polynomial  is defined by where  is a constant. i.       Given that  is a factor of , find the value of .    ii.       When  has this value,               a.  Factorise p(x) completely,              b.   Find the remainder when p(x) […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#1

Hits: 53     Question Solve the equation . Solution SOLVING EQUATION: PIECEWISE Let, . We can write it as; We have to consider two separate cases; When When We have the equation; We have to consider two separate cases; When ; When ; Hence, the only solutions for the given equation are; SOLVING EQUATION: […]