6 Determine the positive root of the polynomial +0.6x² + 5.6 - 4.8. (a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New- ton's method, determine the approximate solution in the first four iterations. (b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 3E
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6 Determine the positive root of the polynomial x³ + 0.6x² + 5.6 – 4.8 .
(a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New-
ton's method, determine the approximate solution in the first four iterations.
(b) From the plot in part (a), choose two points near the root to start the solution process with the secant
method. Determine the approximate solution in the first four iterations.
Transcribed Image Text:6 Determine the positive root of the polynomial x³ + 0.6x² + 5.6 – 4.8 . (a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New- ton's method, determine the approximate solution in the first four iterations. (b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.
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