Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal place f(x)=x²-2, x₁ = 1.4 n 1 2 xn f(x) f'(x) f(x) f'(x) X₁ f(x) f'(x)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.)
f(x)=x²-2, x₁ = 1.4
n
1
2
xn
f(x)
f'(x)
f(x)
f'(x)
X₁
f(x)
f'(x)
Transcribed Image Text:Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x)=x²-2, x₁ = 1.4 n 1 2 xn f(x) f'(x) f(x) f'(x) X₁ f(x) f'(x)
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