Q3 Consider the following tabulated data for the vapor pressure P (mm Hg) of water as a function of temperature T (°C) as given in the Table Q3. Table Q3 40 48 56 64 72 P 55.3 83.7 123.8 179.2 254.5 (a) Use Lagrange polynomial interpolation to find the interpolating polynomial. (b) Estimate the pressure at T = 50.

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Chapter2: Second-order Linear Odes
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Q3
Consider the following tabulated data for the vapor pressure P (mm Hg) of water as a function
of temperature T (°C) as given in the Table Q3.
Table Q3
40
48
56
64
72
P
55.3
83.7
123.8
179.2
254.5
(a)
Use Lagrange polynomial interpolation to find the interpolating polynomial.
(b)
Estimate the pressure at T = 50.
Transcribed Image Text:Q3 Consider the following tabulated data for the vapor pressure P (mm Hg) of water as a function of temperature T (°C) as given in the Table Q3. Table Q3 40 48 56 64 72 P 55.3 83.7 123.8 179.2 254.5 (a) Use Lagrange polynomial interpolation to find the interpolating polynomial. (b) Estimate the pressure at T = 50.
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