Hits: 107
Hits: 107 Question The diagram shows the part of the curve for . i. Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 2 decimal places. ii. The line y=x intersects the curve at point P. Use the iterative formula to determine the […]
Hits: 129 Question The diagram shows the curve , for . A rectangle OABC is drawn, where B is the point on the curve with x-coordinate , and A and C are on the axes, as shown. The shaded region R is bounded by the curve and by the lines x = and […]
Hits: 116 Question The diagram shows the curve , for . A rectangle OABC is drawn, where B is the point on the curve with x-coordinate , and A and C are on the axes, as shown. The shaded region R is bounded by the curve and by the lines x = and […]
Hits: 121 Question The parametric equations of a curve are The point P on the curve has parameter p and it is given that the gradient of the curve at P is −1. i. Show that . ii. Use an iterative process based on the equation in part (i) to find the […]
Hits: 147 Question The diagram shows the curve , for . The x-coordinate of the maximum point M is denoted by . i. Find and show that satisfies the equation tan 2x = 2x + 4. ii. Show by calculation that lies between 0.6 and 0.7. iii. Use the iterative formula to […]
Hits: 157 Question The parametric equations of a curve are The point P on the curve has parameter p and it is given that the gradient of the curve at P is −1. i. Show that . ii. Use an iterative process based on the equation in part (i) to find the […]