Hits: 133
Hits: 133 Question i. By differentiating , show that if θ then . ii. Hence show that Giving the values of a and b. iii. Find the exact value of Solution i. We are given that; We are required to show that; Since provided that ; Therefore; If […]
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: 65 Question i. By differentiating , show that if θ then . ii. Hence show that Giving the values of a and b. iii. Find the exact value of Solution i. We are given that; We are required to show that; Since provided that ; Therefore; If […]
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: 87 Question (i) Show that (2 sin x + cos x)2 can be written in the form (ii) Hence find the exact value of Solution i. We are given that; We have formula; Therefore; Therefore; Therefore; ii. We are required to find the exact value of; From (i) we […]
Hits: 136 Question (i) Show that and hence find the exact value of; (ii) The region enclosed by the curve y = tan x + cos x and the lines x = 0, and y = 0 is shown in the diagram. Find the exact volume of the solid produced when this region […]
Hits: 125 Question (i) Show that (2 sin x + cos x)2 can be written in the form (ii) Hence find the exact value of Solution i. We are given that; We have formula; Therefore; Therefore; Therefore; ii. We are required to find the exact value of; From […]