We have the following data points:
$(0, 1)$, $(0.25, 1.2840)$, $(0.5, 1.6487)$, $(0.75, 2.1170)$, $(1, 2.7183)$.
We can set up a system of equations using these data points:
$a_0 = 1$
$a_0 + 0.25a_1 + 0.0625a_2 = 1.2840$
$a_0 + 0.5a_1 + 0.25a_2 = 1.6487$
$a_0 +
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