Question i. Show that the exact value of ii. The diagram shows the curve for . The shaded region is bounded by the curve and the lines , and . Find the exact volume of the solid obtained when the shaded region is rotated completely about the x-axis. Solution i. We […]
Question i. Find ii. Find the exact value of Solution i. We are required find; We know that; Therefore; Hence; Rule for integration of is: Rule for integration of is: Rule for integration of is: Rule for integration of is: ii. We are required to find […]
Question The diagram shows part of the curve and its point of intersection P with the x-axis. i. Find the exact x-coordinate of P. ii. Show that the equation of the curve can be written and use integration to find the exact area of the shaded region enclosed by the curve and the […]
Question The diagram shows part of the curve and its point of intersection P with the x-axis. i. Find the exact x-coordinate of P. ii. Show that the equation of the curve can be written and use integration to find the exact area of the shaded region enclosed by the curve and the […]
Question i. Prove that . ii. Hence A. Solve the equation for . B. Find the exact value of Solution i. We are given that; provided that provided that ii. a. We are required to solve the equation; As demonstrated in (i); Hence; provided that Now we have […]