Hits: 127
Hits: 127 Question a. Show that b. Find the exact value of Show all necessary working. Solution a. We are required to show; Rule for integration of is: Division Rule; Power Rule; b. We are required to find; Since , we can rearrange to write; Rule for integration of is: Rule for integration […]
Hits: 95 Question a. Find b. Find the exact value of Show all necessary working. Solution a. We are given that; Rule for integration of is: Rule for integration of is: Rule for integration of is: b. We are required to find the exact value of; Rule for integration of is: Rule for […]
Hits: 75 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: 29 Question Find the exact value of Solution We are given that; Rule for integration of is: Rule for integration of , or ; Rule for integration of is:
Hits: 68 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: 19 Question Find the exact value of Solution We are given that; Rule for integration of is: Rule for integration of , or ; Rule for integration of is:
Hits: 37 Question i. Find the quotient and remainder when is divided by . ii. Hence find the exact value of giving the answer in the form where k and a are constants. Solution i. Hence quotient is and remainder is . ii. We are required to solve; When a […]
Hits: 130 Question a. Find the exact value of Show all necessary working. b. Use the trapezium rule with two intervals to find an approximation to Solution a. We are required to show; We know that , therefore; Rule for integration of is: Rule for integration of is: Rule for integration of is: Rule […]
Hits: 63 Question i. Find the quotient and remainder when is divided by . ii. Hence find the exact value of giving the answer in the form where k and a are constants. Solution i. Hence quotient is and remainder is . ii. We are required to solve; When a […]
Hits: 81 Question a. Find the exact value of Show all necessary working. b. Use the trapezium rule with two intervals to find an approximation to Solution a. We are required to show; We know that , therefore; Rule for integration of is: Rule for integration of is: Rule for integration of is: Rule […]
Hits: 73 Question a. Show that b. Find Solution a. We are required to show; Rule for integration of is: Rule for integration of is: Division Rule; Power Rule; Multiplication Rule; b. We are required to find; provided that provided that Rule for integration of is: Rule for integration of is: […]
Hits: 69 Question The diagram shows the curve for . The region R is bounded by the curve, the axes and the line . i. Use the trapezium rule with two intervals to find an approximation to the area of R, giving your answer correct to 3 significant figures. ii. The […]
Hits: 21 Question Show that Solution We are required to show; Rule for integration of is: Division Rule; Power Rule;
Hits: 39 Question The diagram shows the curve for . The region R is bounded by the curve, the axes and the line . i. Use the trapezium rule with two intervals to find an approximation to the area of R, giving your answer correct to 3 significant figures. ii. The region R […]
Hits: 51 Question Show that Solution We are required to show; Rule for integration of is: Division Rule; Power Rule;
Hits: 52 Question i. Show that ii. Solve the equation for , giving your answers correct to 3 significant figures. iii. Find Solution i. We are given; provided that provided that ii. We are required to solve the equation for . […]
Hits: 39 Question It is given that where a is a positive constant. i. Show that ii. Use the equation in part (i) to show by calculation that 1.5 < a < 1.6. iii. Use an iterative formula based on the equation in part (i) to find the value of a correct to […]
Hits: 69 Question i. Show that ii. Solve the equation for , giving your answers correct to 3 significant figures. iii. Find Solution i. We are given; provided that provided that ii. We are required to solve the equation for . As demonstrated in […]
Hits: 70 Question It is given that where a is a positive constant. i. Show that ii. Use the equation in part (i) to show by calculation that 1.5 < a < 1.6. iii. Use an iterative formula based on the equation in part (i) to find the value of a correct […]
Hits: 52 Question i. Express in the form , where and . Give the value of correct to 4 decimal places. ii. Using your answer from part (i), solve the equation for . Solution i. We are given the expression; We are required to write it in the form; If and are […]