Ax) %3D х* — Лх2 - 12x where A> = > — Лх? — ЛЕx where ^> v that fis one-to-one on S = [- rmine f(S). %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6. Define f(x) = x³ – Ax² – 1²x where A > 0 is a constant.
(a) Show that f is one-to-one on S = [-1/3,1].
(b) Determine f(S).
(c) Let g be the inverse of f restricted to S. Determine g'(0).
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Transcribed Image Text:6. Define f(x) = x³ – Ax² – 1²x where A > 0 is a constant. (a) Show that f is one-to-one on S = [-1/3,1]. (b) Determine f(S). (c) Let g be the inverse of f restricted to S. Determine g'(0). -
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