Hits: 76
Hits: 76 Question The sequence of values converges to the value . i. Use the iterative formula to find the value of correct to 4 significant figures. Give the result of each iteration to 6 significant figures. ii. State an equation satisfied by and hence determine the exact value of . Solution […]
Hits: 145 Question The diagram shows the curve with equation The maximum point is denoted by M. i. Find an expression for and determine the gradient of the curve at the point where the curve crosses the x-axis. ii. Show that the x-coordinate of the point M satisfies the equation iii. […]
Hits: 89 Question It is given that Where is a constant. i. Show that ii. Using the equation in part (i), show by calculation that 0.5 < a < 0.75. iii. Use an iterative formula, based on the equation in part (i), to find the value of a correct to 3 significant […]
Hits: 84 Question It is given that Where is a constant. i. Show that ii. Using the equation in part (i), show by calculation that 0.5 < a < 0.75. iii. Use an iterative formula, based on the equation in part (i), to find the value of a correct to 3 significant […]
Hits: 55 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 […]
Hits: 101 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 […]
Hits: 119 Question The curve with equation and the point P on the curve has y-coordinate 10. i. Show that the x-coordinate of P satisfies the equation ii. Use the iterative formula to find the x-coordinate of P correct to 4 significant figures. Give the result of each iteration to 6 significant figures. iii. Find […]