Hits: 79
Hits: 79 Question The diagram shows part of the curve and its maximum point M. The shaded region is bounded by the curve, the axes and the line through M parallel to the y-axis. i. Find the exact value of the x-coordinate of M. ii. Find the exact value of the […]
Hits: 70 Question i. Find where a is a positive constant. ii. Deduce the value of Solution i. We are given that; Rule for integration of is: Rule for integration of , or ; ii. We are required to deduce the value of. From (i) we have demonstrated; Therefore replacing […]
Hits: 66 Question A. Find B. Find the exact value of Solution A. We are required to find; We know that; It can be written for as; It can be rearranged as; Hence, integral can be written as; Rule for integration of is: Rule for integration of is: Rule for integration of is: […]
Hits: 56 Question A. Find B. Find the exact value of Solution A. We are required to find; We know that; It can be written for as; It can be rearranged as; Hence, integral can be written as; Rule for integration of is: Rule for integration of is: Rule for integration of is: […]
Hits: 76 Question It is given that i. Show that ii. Show by calculation that the value of a lies between 1.0 and 1.5. iii. Use an iterative formula, based on the equation in part (i), to find the value of a correct to 3 decimal places. Give the result of each […]
Hits: 92 Question A. Find B. i. Use the trapezium rule with three intervals to find an approximation to giving your answer correct to 3 significant figures. Solution A. We are required to find; Rule for integration of is: B. i. We are required to apply Trapezium Rule to evaluate; The […]
Hits: 78 Question It is given that i. Show that ii. Show by calculation that the value of a lies between 1.0 and 1.5. iii. Use an iterative formula, based on the equation in part (i), to find the value of a correct to 3 decimal places. Give the result of each […]
Hits: 88 Question A. Find B. i. Use the trapezium rule with three intervals to find an approximation to giving your answer correct to 3 significant figures. Solution A. We are required to find; Rule for integration of is: B. i. We are required to apply Trapezium Rule to […]
Hits: 103 Question i. Show that ii. Use the trapezium rule with four intervals to find an approximation to giving your answer correct to 3 significant figures. Solution i. We are required to show that; Rule for integration of is: This integral is valid only when . Division Rule; Power Rule; ii. […]
Hits: 141 Question i. Prove that . ii. Hence a. Find the exact value of b. Evaluate Solution i. We are given that; except where or undefined provided that We have the trigonometric identity; Therefore; Hence; ii. a. We are required to find the exact value […]