Hits: 4088

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | Oct-Nov | (P1-9709/01) | Q#9

Hits: 4088   Question The diagram shows the curve  and the points P(0,1) and Q(1,2) on the curve. The shaded region is bounded by the curve, the y-axis and the line y = 2.     i.       Find the area of the shaded region.    ii.       Find the volume obtained when the shaded region is rotated through 360◦ about the x-axis. Tangents are drawn […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | May-Jun | (P1-9709/01) | Q#9

Hits: 727 Question The diagram shows a curve for which  where  is a constant. The curve passes through the points (1,18) and (4,3). i.       Show, by integration, that the equation of the curve is  . The point P lies on the curve and has x-coordinate 1.6.    ii.       Find the area of the shaded region. Solution i.   We can find equation […]