Linear approximation practice

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Let $g(x)$ be a differentiable function. Given just the information that $g(-1.9) = 9.1$ and $g'(-1.9) = -4$, determine the equation of the tangent line at $x=-1.9$.
$y = $

Using the above tangent line equation, estimate the value of $g(-1.88)$:
Find the linear approximation to the function \[ g( c ) = e^{- c + 3} \left(c - 1\right) \] around $c= 3$.
$L( c ) =$
Let $f(x) = 8.5 \left(0.2 x^{2} - 4 x - 3.7\right)^{6}$. Determine the equation of the tangent line at $x=1.2$. (In all answers, if you round numbers, keep at least four digits.)
$y = $

Using the above tangent line equation, estimate the value of $f(1.18)$:

What is the actual value of $f(1.18)$? $f(1.18) = $