Approximating values using Quadratic Approximations

Find the Quadratic approximation to the function at the given point:

$f(x) = 2\cos{x}$ at a = $\frac{\pi}{2}$

$g(x) = x^{3} + 2x^{2} + 5x + 4$ at a = 1

Consider the function $f(x) = \sqrt{x}$

Find the quadratic approximation of the function at $a = 4$

Approximate $\sqrt{5}$ and $\sqrt{6}$

Compare the exact values of $\sqrt{5}$ and $\sqrt{6}$ with your approximated values in part b). How close were we?

Approximate $\ln{2}$

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