
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 $\overset{\to }{a}\,$ = (2 sin x, cos^2 x) and $\overset{\to }{b}\,$ = (√3 cos x, 2), and a function f(x) = $\overset{\to }{a}\,$ • $\overset{\to }{b}\,$.

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) on the interval [0, π/2].

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