
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
Which of the following statements is correct?

\\(①\\) The graph of the function \\(y=3\sin(2x+ \frac{\pi}{3})\\) can be obtained by shifting the graph of \\(y=3\sin 2x\\) to the right by \\(\frac{\pi}{6}\\) units;  
\\(②\\) The minimum value of the function \\(f(x)=x+ \frac{a}{x} (x > 0)\\) is \\(2\sqrt{a}\\);  
\\(③\\) A school offers 3 elective courses in category \\(A\\) and 4 elective courses in category \\(B\\). A student selects 3 courses in total, requiring at least one course from each category. The total number of different selections is 30;  
\\(④\\) In a certain measurement, the measurement result \\(\xi\\) follows a normal distribution \\(N(2,\sigma^{2}) (\sigma > 0)\\). If the probability of \\(\xi\\) taking a value in \\((-∞,1)\\) is 0.1, then the probability of \\(\xi\\) taking a value in \\((2,3)\\) is 0.4.

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