Question The curve with equation crosses the x-axis at only one point. This point has coordinates . i. Show that satisfies the equation ii. Show by calculation that 0.75 < p < 0.85. iii. Use an iterative formula based on the equation in part (i) to find the value of p correct to 5 […]
Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates and . i. Use the factor theorem to show that (x +2) is a factor of ii. Show that satisfies an equation of the form , and state the values of p and q. […]
Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates and . i. Use the factor theorem to show that (x +2) is a factor of ii. Show that satisfies an equation of the form , and state the values of p and q. […]
Question It is given that where a is a positive constant. i. Show that ii. Use the equation in part (i) to show by calculation that 1.5 < a < 1.6. iii. Use an iterative formula based on the equation in part (i) to find the value of a correct to 3 significant […]
Question It is given that where a is a positive constant. i. Show that ii. Use the equation in part (i) to show by calculation that 1.5 < a < 1.6. iii. Use an iterative formula based on the equation in part (i) to find the value of a correct to 3 […]
Question The diagram shows the curve . The curve crosses the x-axis at the point P and has a maximum point M. i. Find the gradient of the curve at the point P. ii. Show that the x-coordinate of the point M satisfies the equation iii. Use an iterative formula based on […]
Question It is given that a is a positive constant such that i. Show that ii. Use the equation in part (i) to show by calculation that 1.0 < a < 1.5. iii. Use an iterative formula based on the equation in part (i) to find the value of a correct […]