Hits: 381

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2004 | Oct-Nov | (P2-9709/02) | Q#7

Hits: 381     Question The diagram shows the curve y = 2ex + 3e-2x. The curve cuts the y-axis at A.      i.       Write down the coordinates of A.    ii.       Find the equation of the tangent to the curve at A, and state the coordinates of the point where  this tangent meets the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2004 | May-Jun | (P2-9709/02) | Q#6

Hits: 333   Question The parametric equations of a curve are Where t takes all positive values.      i.       Show that    ii.       Find the equation of the tangent to the curve at the point where .   iii.       The curve has one stationary point. Find the y-coordinate of this point, and […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2004 | Oct-Nov | (P2-9709/02) | Q#2

Hits: 136     Question Solve the equation , where x ≠ 0. Solution We are given; Taking natural logarithm of both sides; Multiplication Rule; Power Rule; Taking anti-logarithm of both sides;  for any Therefore;

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2004 | May-Jun | (P2-9709/02) | Q#1

Hits: 203   Question Given that 2x = 5y, use logarithms to find the value of . Solution We are given; Taking natural logarithm of both sides; Power Rule; Answer correct to 3 significant figures is;