Use linear approximation, i.e. the tangent line, to approximate $2.96^4$ as follows:
Let $f(x) = x ^4$. The equation of the tangent line to $f(x)$ at $x = 3$ can be written in the form $y = mx+b$ where:

$m$ = and

$b$ =
Using this, we find our approximation for $2.96 ^4$ is

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