X: 4. Given sin 45º = 0.7071, sin 50º = 0.7660, sin 55° = 0.8192, sin 60º = 0.8660, find sin 52° using Newton’s forward formula. 5. From the following table: 0.1 0.2 0.3 0.4 0.5 0.6 f(x): 2.68 3.04 3.38 3.68 3.96 4.21 find f(0.7) approximately. 6. The area A of a circle of diameter d is given for the following values: d: 80 90 95 100 A: 5026 5674 6362 7088 7854 Calculate the area of a circle of diameter 105 85 a
2n+n 4 2 Exercises 7.1 لار I: 1. Using Newton’s forward formula, find the value of f(1.6), if 1 1.4 1.8 22 f(x): 3.49 4.82 5.96 6.5 2. From the following table find y when x = 1.85 and 2.4 by Newton’s inter- polation formula: 1.7 1.8 2.0 2.1 2.2 2.3 y=e: 5.474 6,050 6.686 7.389 8.166 9.025 9.974