10 osed My Notes Ask Your T Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval ex = 5-4), (0,1) The equation ex-5- 4x is equivalent to the equation f(x) ex 5 4x 0fx) is continuous on the interval [0, 11, f(0) , and f(1)- Since v, , there is a number c in (0, 1) such that f(c)-0 by the Intermediate Value Theorem. Thus, there is a root of the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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10
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My Notes
Ask Your T
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval
ex = 5-4),
(0,1)
The equation ex-5- 4x is equivalent to the equation f(x) ex 5
4x 0fx) is continuous on the interval [0, 11, f(0)
, and f(1)-
Since
v,
, there is a number c in (0, 1) such that f(c)-0 by the Intermediate Value Theorem. Thus, there is a root of the
Transcribed Image Text:10 osed My Notes Ask Your T Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval ex = 5-4), (0,1) The equation ex-5- 4x is equivalent to the equation f(x) ex 5 4x 0fx) is continuous on the interval [0, 11, f(0) , and f(1)- Since v, , there is a number c in (0, 1) such that f(c)-0 by the Intermediate Value Theorem. Thus, there is a root of the
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