Verify the applicability of the intermediate Value Theorem in the indicated interval and find the value of c guaranteed by the theorem. 11. f(x) = x² – 6x + 8, [0,3), f(c) = 0 12. f(x) = x3 – x2+ x - 2, [0,3], f(c) = 4 %3D 3 13. f(x) = (1,4), f(c) = 3 x-2'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Verify the applicability of the intermediate Value Theorem in the indicated interval and find the value of
c guaranteed by the theorem.
11. f(x) = x² – 6x + 8, [0,3), f(c) = 0
12. f(x) = x3 – x2 + x - 2, [0,3], f(c) = 4
%3D
3
13. f(x) = (1,4), f(c) = 3
x-2'
Transcribed Image Text:Verify the applicability of the intermediate Value Theorem in the indicated interval and find the value of c guaranteed by the theorem. 11. f(x) = x² – 6x + 8, [0,3), f(c) = 0 12. f(x) = x3 – x2 + x - 2, [0,3], f(c) = 4 %3D 3 13. f(x) = (1,4), f(c) = 3 x-2'
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