A thermocouple's output is tabulated at three temperatures: at

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Computational Physics, Ch Where a function vanishes, and what lies between the points

Problem

A thermocouple's output is tabulated at three temperatures:

0.000\,\mathrm{mV}

0^\circ\mathrm{C}

4.096\,\mathrm{mV}

100^\circ\mathrm{C}

, and

8.138\,\mathrm{mV}

200^\circ\mathrm{C}

. Construct the degree-two Lagrange interpolating polynomial through these three points and use it to estimate the output at

150^\circ\mathrm{C}

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