The document contains a collection of mathematical equations and expressions involving operations such as addition, subtraction, multiplication, division, exponents, trigonometric functions, integrals, and sets. The equations include solving for unknown variables, evaluating expressions, and defining functions.

1. ∶
∶

2. 9
12 + 2 = 0
4 − 81 + 108 = 0
4 2 − 108 + 81 = 0
81 2 − 4 + 108 = 0
81 2 − 108 + 4 = 0
108 2 − 4 + 81 = 0
(4 + 1) − 13 = 9 (1 − )
"
−
+
"

3. ∈
(−2)
( )= 2 + 1
( ° )( + 1) = −2
| | = √6
−4
−2
−
+2
.
+
−4 −1
=0
.
+ ( + 4) + 1 = 0
−
=3

4. 4
−4
2
2
−2
2
4
( )=2
= (−1 2 3)
−
2
= (
4
)
= (−4 8 − 3)
2 –3
−
=
=

5. = 3
(2, −10)
(2, 10)
(10, 2)
(−10, 2)
(10, −2)
{−4 ≤
{−5 ≤
{−4 ≤
{−5 ≤
{−5 ≤
−
−
0
( ,
≤ −1
< −2
< −1
≤ −2
< −1
)
= −2
(
(−4, 6)
+ − 2) ≤ 1
2 ≤ ≤ 5}
1 < ≤ 4}
2 < ≤ 5}
1 ≤ ≤ 4}
2 < ≤ 4}
5
− 26. 5 + 5 = 0
−
=8

7. −
−
sin
−
+2
2
2 cos
2 sin 2
2 cos 2
cos 2
−
−
+ sin
4 sin
+ 4 cos − 1 = 0
−2
∫ (3 − 2)(4 + )
= 50
3

8. 2
2
3
3
4
∫
sin +
cos +
sin +
cos +
cos
+
= −4 − 3
= +3
= −4
= −8
= −4 + 8
=2
−5
+7

9. 15
15
14
14
10