Linear approximation practice

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Let $g(x) = \left(0.3 x^{2} - 0.6 x + 5.8\right) \ln{\left (x \right )}$. Determine the equation of the tangent line at $x=1.1$. (In all answers, if you round numbers, keep at least four digits.)
$y = $

Using the above tangent line equation, estimate the value of $g(1.12)$:

What is the actual value of $g(1.12)$? $g(1.12) = $
Let $f(x)$ be a differentiable function. Given just the information that $f(-7) = -0.3$ and $\diff{ f }{x} \big|_{ x = -7 } = -4.9$, determine the equation of the tangent line at $x=-7$.
$y = $

Using the above tangent line equation, estimate the value of $f(-7)$:
Find the linear approximation to the function \[ f( s ) = s^{3} - s \] around $s= 2$.
$L_{ 2 }( s ) =$