Question

1)2)3)4)

Answer 1

4)
ОДЗ
cos2x≠0
x≠π2
1-4sin²x≤2(cos2x+1)
1-4sin²x≤4-2sin²x
2sin²x-3≤0
2(sinx+√3/2)(sinx-√3/2)≤0
sinx∈[-√3/2; √3/2]
x∈[-π/6; +π/6]
3) 2+cos2x≤3cosx-1
2cos²x-3cosx+1≤0
Через Дискриминант пусть cosx=a и т.д.
2(cosx-1/2)(cosx-1)≤0
cosx∈[1/2; 1]
x∈[0; π/3]

Answer 2

1) Can I submit a DV entry for each of my passports? What should I do if the transliteration differs from one passport to another?

Yes, you can submit a Diversity Visa (DV) entry for each of your passports. However, it is important to note that you can only submit one entry per passport. If the transliteration of your name differs from one passport to another, you should use the transliteration that matches the passport you are using for the DV entry. It is important to provide accurate and consistent information when submitting your DV entry.

[[1]](https://ru.usembassy.gov/wp-content/uploads/sites/138/FAQ-DV-January-2020.pdf)