Consider weighed quantities $T_1=4,71g,T_2=3,98g$ and $T_3=4,12g$ described by the equation $T=ln(\frac{2T_1-T_2}{T_3}).$ If allowable deviations from the weighed values are to be within $1\%,3\%$ and $2\%$ respectively, determine the maximum percentage error in the calculation of $T.$

$1\mathrm{.}2.$ The data in the table depicts the melting point of a alloy of lead and zinc where $T$ is the temperature in degrees Celsius $(C)$ and $p$ is the percentage of lead in the alloy.

$1\mathrm{.}2\mathrm{.}1.$ Construct a divided difference scheme for the data

$(4)$

$1\mathrm{.}2\mathrm{.}2.$ Use the divided difference polynomial to estimate the melting point of the alloy containing $84$ and $92$ percent lead respectively

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