$3\mathrm{.}3(38$ pts$)$ During a tensile test in which the starting gage length $=100\mathrm{.}0mm$ and the

cross$-$sectional area $=150m{m}^2.$ During testing, the following force and gage length

data are collected: $(1)17,790N$ at $100\mathrm{.}2$ mm $,(2)23,040N$ at $103\mathrm{.}5$ mm $,(3)27,370N$

at $110\mathrm{.}5$ mm $,(4)30,910N$ at $122\mathrm{.}0$ mm $,(5)27,400N$ at $130\mathrm{.}0$ mm $,$ and $(6)20,460N$ at

$135\mathrm{.}1$ mm $.$ The final data point $(6)$ occurred immediately prior to failure. Yielding

occurred at a load of offset value