Hits: 242

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2007 | Oct-Nov | (P1-9709/01) | Q#2

Hits: 242 Question Find the area of the region enclosed by the curve , the x-axis and the lines x = 1 and x = 4. Solution To find the area of region under the curve , we need to integrate the curve from point  to  along x-axis. For the given case; Rule for integration of  is:

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2007 | May-Jun | (P1-9709/01) | Q#10

Hits: 538 Question The equation of a curve is  . i.       Obtain expressions for  and .    ii.       Find the coordinates of the stationary point on the curve and determine the nature of the stationary point.   iii.       Show that the normal to the curve at the point (−2, −2) intersects the x-axis at the point (−10, 0).   iv.       Find the area of the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2007 | May-Jun | (P1-9709/01) | Q#2

Hits: 447 Question The diagram shows the curve .  The shaded region is bounded by the curve, the x-axis and the lines  and . Find the volume of the solid obtained when this shaded region is rotated completely about the x-axis, giving your answer in terms of . Solution Expression for the volume of the solid formed when […]