Answer the following problems using the specified method up to four (4) iterations only. Round off any computed value to four (4) decimal places. 10. Determine the root of the following easily differentiable function, e0.5x = 5-5x. a. Using Bisection Method with initial guesses of x₁ = 0 and x₁ = 2. b. Using False-Position Method with initial guesses of x = 0 and x₁ = 2. c. Using Secant Method with initial values of xo = 1 and x₁ = 2. d. Using Newton-Raphson Method with initial value of x = 0.9. Answer: a. 0.625 b. 0.7142 c. 0.7142 d. 0.7142

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
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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.
10. Determine the root of the following easily differentiable function,
e0.5x = 5-5x.
a. Using Bisection Method with initial guesses of x₁ = 0 and x₁ = 2.
b. Using False-Position Method with initial guesses of x = 0 and x₁ = 2.
c. Using Secant Method with initial values of xo = 1 and x₁ = 2.
d. Using Newton-Raphson Method with initial value of x = 0.9.
Answer:
a. 0.625
b. 0.7142
c. 0.7142
d. 0.7142
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. 10. Determine the root of the following easily differentiable function, e0.5x = 5-5x. a. Using Bisection Method with initial guesses of x₁ = 0 and x₁ = 2. b. Using False-Position Method with initial guesses of x = 0 and x₁ = 2. c. Using Secant Method with initial values of xo = 1 and x₁ = 2. d. Using Newton-Raphson Method with initial value of x = 0.9. Answer: a. 0.625 b. 0.7142 c. 0.7142 d. 0.7142
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