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Hits: 15 Question Given that find the value of the constant a correct to 3 decimal places. Solution i. We are given that; Rule for integration of , or ; Taking logarithm of both sides; for any
Hits: 41 Question The diagram shows the curve for 0 ≤ x ≤ 6. The region bounded by the curve and the lines x = 0, x = 6 and y = 0 is denoted by R. i. Use the trapezium rule with 2 strips to find an estimate of the area of R, […]
Hits: 38 Question The definite integral is defined by i. Show that . ii. Sketch the curve for . iii. State whether an estimate of obtained by using the trapezium rule will be more than or less than 8e −2. Justify your answer. Solution i. We are given that; Rule […]
Hits: 37 Question i. It is given that the positive constant a is such that ii. Show that iii. Use an iterative formula , to find a correct to 3 decimal places. Give the result of each iteration to 5 decimal places. Solution i. We are given that; Rule for […]
Hits: 44 Question a) Find b) Without using a calculator, find the exact value of giving your answer in the form . c) The diagram shows the curve for 0 ≤ x ≤ 6. The region bounded by the curve and the lines x = 0, x = 6 and y = 0 […]
Hits: 59 Question a) Find b) Without using a calculator, find the exact value of giving your answer in the form . c) The diagram shows the curve for 0 ≤ x ≤ 6. The region bounded by the curve and the lines x = 0, x = 6 and y = 0 is […]