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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

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

Advanced Engineering Mathematics
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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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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