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Interpolation Dynamic viscosity of water μ (10-3 N.) is related to temperature TCC) in the following manner: (let T = x; μ = y) T 0 1.787 5 1.519 10 1.307 20 30 40 1.002 0.7975 0.6529

Interpolation Dynamic viscosity of water μ (10-3 N.) is related to temperature TCC) in the following manner: (let T = x; μ = y) T 0 1.787 5 1.519 10 1.307 20 30 40 1.002 0.7975 0.6529

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Interpolation Dynamic viscosity of water µ (10-³ N. 3) i is related to temperature T(°C) in the following manner: m (let T = x; μ = y) T н 0 1.787 10 20 30 40 5 1.519 1.307 1.002 0.7975 0.6529 a. Use Second Order Lagrange Interpolating polynomial to fit a parabola to these data Xo = 0; x₁ = 5; x₂ = 10. Using the parabolic equation make prediction at T = 7.5°C Plot these data vs the Second-Order Lagrange Interpolating polynomial and the predicted point in one graph. 10. Make prediction at T = 7.5°C b. Use First Order Spline to fit the points only at Xo = 0; x₁ = 5; X₂ Plot these data and First Order Spline Interpolating polynomial and the predicted point in one graph.
Transcribed Image Text:Interpolation Dynamic viscosity of water µ (10-³ N. 3) i is related to temperature T(°C) in the following manner: m (let T = x; μ = y) T н 0 1.787 10 20 30 40 5 1.519 1.307 1.002 0.7975 0.6529 a. Use Second Order Lagrange Interpolating polynomial to fit a parabola to these data Xo = 0; x₁ = 5; x₂ = 10. Using the parabolic equation make prediction at T = 7.5°C Plot these data vs the Second-Order Lagrange Interpolating polynomial and the predicted point in one graph. 10. Make prediction at T = 7.5°C b. Use First Order Spline to fit the points only at Xo = 0; x₁ = 5; X₂ Plot these data and First Order Spline Interpolating polynomial and the predicted point in one graph.
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