Answer the following problems using the specified method up to four (4) iterations only. Round off any computed value to four (4) decimal places. 6. Determine the highest real root of f(x)=2x³-11.7x² +17.7x-5. a. Using Secant Method with initial values of x = 3 and x₁ = 4. b. Using Newton-Raphson Method with initial value of x = 3. c. Using Fixed-Point Iteration Method with initial value of x = 3. Answer: a. 3.5863 b. 3.5998 c. 3.5064

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer the following problems using the specified method up to four (4) iterations only. Round off
any computed value to four (4) decimal places.
6. Determine the highest real root of
f(x) = 2x³-11.7x² +17.7x-5.
a. Using Secant Method with initial values of x = 3 and x₁ = 4.
b. Using Newton-Raphson Method with initial value of x = 3.
c. Using Fixed-Point Iteration Method with initial value of x₁ = 3.
Answer:
a. 3.5863
b. 3.5998
c. 3.5064
Transcribed Image Text:Answer the following problems using the specified method up to four (4) iterations only. Round off any computed value to four (4) decimal places. 6. Determine the highest real root of f(x) = 2x³-11.7x² +17.7x-5. a. Using Secant Method with initial values of x = 3 and x₁ = 4. b. Using Newton-Raphson Method with initial value of x = 3. c. Using Fixed-Point Iteration Method with initial value of x₁ = 3. Answer: a. 3.5863 b. 3.5998 c. 3.5064
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