Problem #2 Use following dataset to calculate the value of f(3.4) using (a) Newton's polynomial method of order 1 through 3, (b) Lagrange's polynomial of order 1 through 3. X₁ = 3 f(x₁) = 7 f(x₂)=3 f(x3) = 6.5 f(x4) = 1 x₂=4 X3 = 2.5 X4 = 5

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem #2
Use following dataset to calculate the value of f(3.4) using (a) Newton's polynomial
method of order 1 through 3, (b) Lagrange's polynomial of order 1 through 3.
X₁ = 3
f(x₁) = 7
f(x₂)=3
f(x3) = 6.5
f(x4) = 1
x₂=4
X3 = 2.5
X4 = 5
Transcribed Image Text:Problem #2 Use following dataset to calculate the value of f(3.4) using (a) Newton's polynomial method of order 1 through 3, (b) Lagrange's polynomial of order 1 through 3. X₁ = 3 f(x₁) = 7 f(x₂)=3 f(x3) = 6.5 f(x4) = 1 x₂=4 X3 = 2.5 X4 = 5
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