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(b) Soundings of the depth of the river are made at equal intervals of 1 m across the river as shown below: X(m) Y(m) 2.2 3.3 0.7 (i) Using Lagrange interpolation polynomial find a formula, which reproduces these (X, Y) points exactly and will act as a mathematical model of the depth of the river. (ii) Hence estimate the depth of the river when X = 2.5m.

(b) Soundings of the depth of the river are made at equal intervals of 1 m across the river as shown below: X(m) Y(m) 2.2 3.3 0.7 (i) Using Lagrange interpolation polynomial find a formula, which reproduces these (X, Y) points exactly and will act as a mathematical model of the depth of the river. (ii) Hence estimate the depth of the river when X = 2.5m.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b) Soundings of the depth of the river are made at equal intervals of 1 m across the river as shown below: X(m) 2 Y(m) 2.2 3.3 0.7 (i) Using Lagrange interpolation polynomial find a formula, which reproduces these (X, Y) points exactly and will act as a mathematical model of the depth of the river. (ii) Hence estimate the depth of the river when X 2.5m.
Transcribed Image Text:(b) Soundings of the depth of the river are made at equal intervals of 1 m across the river as shown below: X(m) 2 Y(m) 2.2 3.3 0.7 (i) Using Lagrange interpolation polynomial find a formula, which reproduces these (X, Y) points exactly and will act as a mathematical model of the depth of the river. (ii) Hence estimate the depth of the river when X 2.5m.
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