The Fresnel integrals are defined asC(x) = [cos(xt²/2)dtandS(x) = [sin(zr"/2)dtUse Taylor expansions to find approximations to C(x) and S(x) that are 10$ accurate for allx with Lel < 1/2.

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Answered: The Fresnel integrals are defined as…

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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The Fresnel integrals are defined as C(x) = [cos(xt²/2)dt and S(x) = [sin(zr"/2)dt Use Taylor expansions to find approximations to C(x) and S(x) that are 10$ accurate for all x with Lel < 1/2.