need some simple solution in number 2 using the mean value theorem.... ASAP r2(9 – r2)(3 – r2)26.x(r2 +9)(3 – 2)3*1. Given f(r)with f'(r) =and f"(x) =3 - x22. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3.Show that there are two distinct real numbers r and r2 such that f'(r1) = -f'(x2).

Given that f be continuous and differentiable everywhere. Suppose that f has…

Answered: 2. Let f be continuous and…

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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2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that there are two distinct real numbers r1 and r2 such that f'(r) =-f'(x2).