(a) Given thatr 1.0y 2.7183 3.3201 4.0552 4.9530 6.0496 7.3891 9.0250Compute 4 and at r = 1.21.21.41.61.82.02.2(b) Use Romberg integration to computedrI =1+10.correct to three decimal places.(c) Solve the following equation correct to 5 significant figures using Newton's Method.4.r – sin(x*) + e¯2 – x' – x² + 2 = 0Take the initial guess as ro = 1.75.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Given that r 1.0 1.2 1.4 1.6 1.8 2.0 2.2 y 2.7183 3.3201 | 4.0552 4.9530 6.0496 7.3891 | 9.0250 Compute 4 and at r = 1.2