A graph of f(x) = x³ + 8x² + 9x −26 shows that the equation x³ + 8x² + 9x − 26 = 0 will have a solution on the interval (1, 2). Use Newton's method, showing at least the first cycle of the process, with initial approximation = 1.5 to approximate the solution of x³ + 8x² + 9x - 26 = 0. Stop when the solution is accurate to four decimal places, and report the solution accurate to four decimal places. Solution: ≈

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 1E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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A graph of f(x) = x³ + 8x² + 9x − 26 shows that the equation x³ + 8x² + 9x − 26 =
solution on the interval (1, 2).
0 will have a
Use Newton's method, showing at least the first cycle of the process, with initial approximation co 1.5 to
approximate the solution of x³ + 8x² + 9x
26=
0.
Solution:
=
Stop when the solution is accurate to four decimal places, and report the solution accurate to four decimal
places.
Transcribed Image Text:= A graph of f(x) = x³ + 8x² + 9x − 26 shows that the equation x³ + 8x² + 9x − 26 = solution on the interval (1, 2). 0 will have a Use Newton's method, showing at least the first cycle of the process, with initial approximation co 1.5 to approximate the solution of x³ + 8x² + 9x 26= 0. Solution: = Stop when the solution is accurate to four decimal places, and report the solution accurate to four decimal places.
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