Maximum or monotonicity of x^x type functions

1. A.
   $(2\sqrt{e})^{\frac{1}{e}}$
2. B.
   $\left( \frac{4}{\sqrt{e}} \right)^{\frac{e}{4}}$
3. C.
   $(e)^{\frac{2}{e}}$
4. D.
   1

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1. A.
   $e^{5} + e^{6} + e^{11}$
2. B.
   $e^{3} + e^{5} + e^{11}$
3. C.
   $e^{3} + e^{6} + e^{11}$
4. D.
   $e^{3} + e^{6} + e^{10}$

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1. A.
   $\left( 0,\frac{1}{e} \right\rbrack$
2. B.
   $\left\lbrack \frac{1}{e^{2}},1 \right)$
3. C.
   $(0,\infty)$
4. D.
   $\left\lbrack \frac{1}{e},\infty \right)$

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1. A.
   $e^{\pi} < \pi^{e}$
2. B.
   $e^{2\pi} < (2\pi)^{e}$
3. C.
   $e^{\pi} > \pi^{e}$
4. D.
   $(2e)^{\pi} > \pi^{(2e)}$

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