Let ƒ(x) = x4 - x3. Show that the equation ƒ(x) = 75 has a solution in the interval [3, 4] and use Newton’s method to find it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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Let ƒ(x) = x4 - x3. Show that the equation ƒ(x) = 75 has a solution
in the interval [3, 4] and use Newton’s method to find it.

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