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#19:
∪
∪ ![x = -sqrt2 x = -sqrt2](https://tex.z-dn.net/?f=x+%3D+-sqrt2)
f(x)↓ (-∞; -√2] ∪ [0; √2]
f(x)↑ [-√2; 0] ∪ [√2; +∞)
max f(x) = 3
min f(x) = -1
#21:
![left { {{x - y = 8} atop {2^{x - 3y} = 16}} right. textless = textgreater left { {{x = 8 + y} atop {2 ^ {8 - 2y} = 2^4}} right. textless = textgreater left { {{x = 8 + y} atop {2y = 4}} right. textless = textgreater left { {{y=2} atop {x=10}} right. left { {{x - y = 8} atop {2^{x - 3y} = 16}} right. textless = textgreater left { {{x = 8 + y} atop {2 ^ {8 - 2y} = 2^4}} right. textless = textgreater left { {{x = 8 + y} atop {2y = 4}} right. textless = textgreater left { {{y=2} atop {x=10}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx+-+y+%3D+8%7D+atop+%7B2%5E%7Bx+-+3y%7D+%3D+16%7D%7D+right.++textless++%3D+textgreater++++left+%7B+%7B%7Bx+%3D+8+%2B+y%7D+atop+%7B2+%5E+%7B8+-+2y%7D+%3D+2%5E4%7D%7D+right.++textless++%3D+textgreater+++left+%7B+%7B%7Bx+%3D+8+%2B+y%7D+atop+%7B2y+%3D+4%7D%7D+right.++textless++%3D+textgreater++++left+%7B+%7B%7By%3D2%7D+atop+%7Bx%3D10%7D%7D+right.+)
#22:
a)
∪ ![sin(x) = frac{1}{4} sin(x) = frac{1}{4}](https://tex.z-dn.net/?f=sin%28x%29+%3D+frac%7B1%7D%7B4%7D)
∈ Z ∪
∈ Z
b) {2π; 2π + arcsin(1/4)}
f(x)↓ (-∞; -√2] ∪ [0; √2]
f(x)↑ [-√2; 0] ∪ [√2; +∞)
max f(x) = 3
min f(x) = -1
#21:
#22:
a)
b) {2π; 2π + arcsin(1/4)}
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