For f(æ) = e? + 0.39a? – 2 with æo - 4.9 and æ1 1.9 apply steps of the secant method to obtain 22 = x3 = 24 = 25 =
For f(æ) = e? + 0.39a? – 2 with æo - 4.9 and æ1 1.9 apply steps of the secant method to obtain 22 = x3 = 24 = 25 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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![For \( f(x) = e^x + 0.39x^2 - 2 \) with \( x_0 = -4.9 \) and \( x_1 = -1.9 \), apply steps of the secant method to obtain
\[
x_2 = \ \text{\_\_\_\_\_}
\]
\[
x_3 = \ \text{\_\_\_\_\_}
\]
\[
x_4 = \ \text{\_\_\_\_\_}
\]
\[
x_5 = \ \text{\_\_\_\_\_}
\]
\[
x_6 = \ \text{\_\_\_\_\_}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64c780d2-a8a0-4ff8-a74c-59396aa6e397%2Fa4323be7-4916-4b00-a311-27c8163c8964%2Fyo0wf2l_processed.png&w=3840&q=75)
Transcribed Image Text:For \( f(x) = e^x + 0.39x^2 - 2 \) with \( x_0 = -4.9 \) and \( x_1 = -1.9 \), apply steps of the secant method to obtain
\[
x_2 = \ \text{\_\_\_\_\_}
\]
\[
x_3 = \ \text{\_\_\_\_\_}
\]
\[
x_4 = \ \text{\_\_\_\_\_}
\]
\[
x_5 = \ \text{\_\_\_\_\_}
\]
\[
x_6 = \ \text{\_\_\_\_\_}
\]
Expert Solution
Step 1
The root of the function can be calculated using the secant method. The formula for the secant method is .
Here, are the initial approximations. Insert the values in the formula and calculate the subsequent approximations.
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