Linear approximation practice

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Let $f(x)$ be a differentiable function. Given just the information that $f(-7.3) = -9.4$ and $\diff{ f }{x} \big|_{ x = -7.3 } = 4.3$, determine the equation of the tangent line at $x=-7.3$.
$y = $

Using the above tangent line equation, estimate the value of $f(-7.35)$:
Let $f(x) = - 6.7 \left(- 0.2 x^{2} - 2.1 x - 6.9\right)^{4}$. Determine the equation of the tangent line at $x=0.9$. (In all answers, if you round numbers, keep at least four digits.)
$y = $

Using the above tangent line equation, estimate the value of $f(0.87)$:

What is the actual value of $f(0.87)$? $f(0.87) = $
Find the linear approximation to the function \[ r( d ) = e^{- d + 4} \left(d - 5\right) \] around $d= 4$.
$L( d ) =$