
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given vectors $\overset{→}{a} =(2 \sin x, \cos^2 x)$ and $\overset{→}{b} =( \sqrt{3} \cos x, 2)$, and the function $f(x)=\overset{→}{a} \cdot \overset{→}{b}$:

1. Find the smallest positive period and the monotonically decreasing interval of $f(x)$;
2. Find the maximum and minimum values of the function $f(x)$ in the interval $[0, \frac{π}{2}]$.

Present the answer in LaTex format: \boxed{Your answer}
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