# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2019 | Oct-Nov | (P2-9709/22) | Q#7

Question A curve is defined by the parametric equations for .       i.       Find the exact gradient of the curve at the point for which .    ii.       Find the value of at the point where the gradient of the curve is 2, giving the value correct to 3 significant figures. Solution      i. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2019 | May-Jun | (P2-9709/23) | Q#6

Question The diagram shows the curve with parametric equations  ,    for 0 ≤ t ≤ 2. At the point P on the curve, the y-coordinate is 1.     i.       Show that the value of t at the point P satisfies the equation .    ii.       Use the iterative formula  with t1 =0.7 to […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2019 | May-Jun | (P2-9709/22) | Q#6

Question The diagram shows the curve with parametric equations  ,    for 0 ≤ t ≤ 2. At the point P on the curve, the y-coordinate is 1.     i.       Show that the value of t at the point P satisfies the equation .    ii.       Use the iterative formula  with t1 =0.7 to […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2019 | Feb-Mar | (P2-9709/22) | Q#7

Question The parametric equations of a curve are for . At the point P on the curve, the gradient of the curve is 2.      i.       Show that the value of the parameter at P satisfies the equation .    ii.       By first expressing in the form , where R > 0 and   , find […]