Hits: 858

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | Oct-Nov | (P1-9709/01) | Q#9

Hits: 858 Question The diagram shows points  and  on the curve . The tangent to the curve at B crosses the x-axis at C. The point D has coordinates (2, 0). i.       Find the equation of the tangent to the curve at B and hence show that the area of triangle BDC is    ii.       Show that the volume of the solid […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | Oct-Nov | (P1-9709/01) | Q#8

Hits: 1006 Question A solid rectangular block has a base which measures  cm by  cm. The height of the block is  cm and the volume of the block is 72 cm3.      i.       Express  in terms of  and show that the total surface area, A cm2, of the block is given by  Given that x can vary,    ii.       find the value of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | May-Jun | (P1-9709/01) | Q#10

Hits: 840 Question The equation of a curve is      i.      Calculate the gradient of the curve at the point where .    ii.       A point with coordinates  moves along the curve in such a way that the rate of increase of  has the constant value 0.03 units per second.  Find the rate of increase of   at the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | May-Jun | (P1-9709/01) | Q#3

Hits: 632 Question a)   Differentiate  with respect to . b)  Find Solution a)   First write the expression in equation form. We can rewrite the equation without fractions: In the given case: Rule for differentiation of  is: Rule for differentiation of  is: b)   The given case is: We can rewrite the expression without fractions: Rule for integration of  is: […]