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Problem 57

Between $0^{\circ} \mathrm{C}$ and $30^{\circ} \m…

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Problem 56

$53-56$
(a) Use a graph to estimate the absolute maximum and
minimum values of the function to two decimal places.
(b) Use calculus to find the exact maximum and minimum
values.
$$f(x)=x-2 \cos x, \quad-2 \leqslant x \leqslant 0$$

Answer

A. SEE GRAPH
The absolute minimum value of $f(x)$ is $\approx-2.26$
The absolute maximum value of $f(x)$ is $\approx-1.17$
B.Absolute minimum value is $-\frac{\pi}{6}-\sqrt{3}[\approx-2.2557]$ which occurs at $x=-\frac{\pi}{6}$
Absolute maximum value is $-2-2 \cos (2)[\approx-1.1677]$ which occurs at $x=-2$



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