Hits: 80

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | Oct-Nov | (P2-9709/22) | Q#5

Hits: 48 Question Find the x-coordinates of the stationary points of the following curves:      i.      ii.   Solution      i.   First we are required to find the x-coordinate of the stationary points of the following curve. A stationary point on the curve is the point where gradient of the curve is […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/23) | Q#7

Hits: 94 Question A.  Find the gradient of the curve At the point (1,1). B.  The parametric equations of a curve are Find the gradient of the curve at the point (−3, 3). Solution A.    We are given equation of the curve as; We are required to find expression for gradient of the curve. […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/23) | Q#4

Hits: 163 Question The diagram shows the curve  and its minimum point M.      i.       Show that the x-coordinate of M is .    ii.       The region shaded in the diagram is enclosed by the curve and the lines ,   and  . Use integration to show that the area of the shaded region is . […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/22) | Q#7

Hits: 136 Question A.  Find the gradient of the curve At the point (1,1). B.  The parametric equations of a curve are Find the gradient of the curve at the point (−3, 3). Solution A.    We are given equation of the curve as; We are required to find expression for gradient of the curve. […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2015 | May-Jun | (P2-9709/22) | Q#4

Hits: 137     Question The diagram shows the curve  and its minimum point M.      i.       Show that the x-coordinate of M is .    ii.       The region shaded in the diagram is enclosed by the curve and the lines ,   and  . Use integration to show that the area of the shaded region […]