Determine the highest real root of f(x) = 0.95x3 - 5.9x² +10.9x - 6. Also, compute for Ea a. Graphically. b. Using the Newton-Raphson method (five iterations,x₁ = 3.5). c. Using the secant method (five iterations, x₁-1 = 2.5 and x = 3.5).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Determine the highest real root of f(x) = 0.95x³ - 5.9x² + 10.9x - 6. Also, compute
for Ea
a. Graphically.
b. Using the Newton-Raphson method (five iterations,x, = 3.5).
c. Using the secant method (five iterations, x₁-1 = 2.5 and x₁ = 3.5).
d. Using the modified secant method (five iterations,x₁ = 3.5 and 8 = 0.01).
Transcribed Image Text:2. Determine the highest real root of f(x) = 0.95x³ - 5.9x² + 10.9x - 6. Also, compute for Ea a. Graphically. b. Using the Newton-Raphson method (five iterations,x, = 3.5). c. Using the secant method (five iterations, x₁-1 = 2.5 and x₁ = 3.5). d. Using the modified secant method (five iterations,x₁ = 3.5 and 8 = 0.01).
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