Question

11. Use the Lagrange's inverse interpolation formula to find the value of x when y = 0.3 the following data: X: Y: 0.2 0.3 0.4 0.17 0.20 0.19

          11. Use the Lagrange's inverse interpolation formula to find the value of x when y = 0.3 the following data:
X:
Y:
0.2	0.3	0.4
0.17	0.20	0.19

Added by Gerald P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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11/04/2023

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The Lagrange interpolation polynomial is given by: \[ P(x) = \sum_{i=0}^{n} y_i \cdot l_i(x) \] where $ l_i(x) = \prod_{j=0, j \neq i}^{n} \frac{x-x_j}{x_i-x_j} $ Given data points: $ (x_0, y_0) = (0.2, 0.17) $ $ (x_1, y_1) = (0.3, 0.20) $ \( (x_2, y_2) = Show more…

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Use the Lagrange's inverse interpolation formula to find the value of x when y=0.3 the following data: able[[x:,0.2,0.3,0.4],[Y:,0.17,0.20,0.19]] 11. Use the Lagrange's inverse interpolation formula to find the value of x when y=O. the following data. X: Y: 0.2 0.17 0.3 0.20 0.4 0.19

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11. Use the Lagrange's inverse interpolation formula to find the value of x when y = 0.3 the following data: X: Y: 0.2 0.3 0.4 0.17 0.20 0.19

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