<span>y=sinx*cosx+1=1/2*2*<span>sinx*cosx+1=1/2sin2x+1</span></span>
<span><span>sin2x e [-1,1]</span></span>
<span><span>1/2sin2x e [-1/2.1/2]</span></span>
<span><span>(1/2sin2x+1) e [1/2., 1 1/2]</span></span>
)))))))))))))))))))))))))********8
Вроде так:
![2x^{2} -x-6\leq 0\\2x^{2} +3x-4x-6\leq 0\\x*(2x+3)-2(2x+3)\leq 0\\(2x+3)*(x-2)\leq 0\\\left \{ {{2x+3\leq 0 } \atop {x-2\geq 0}} \right. \\\left \{ {{2x+3\geq 0} \atop {x-2\leq 0}} \right. \\\left \{ {{x\leq-\frac{3}{2} } \atop {x\geq 2}} \right. \\\left \{ {{x\geq-\frac{3}{2} } \atop {x\leq 2}} \right. \\](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-x-6%5Cleq%200%5C%5C2x%5E%7B2%7D%20%2B3x-4x-6%5Cleq%200%5C%5Cx%2A%282x%2B3%29-2%282x%2B3%29%5Cleq%200%5C%5C%282x%2B3%29%2A%28x-2%29%5Cleq%200%5C%5C%5Cleft%20%5C%7B%20%7B%7B2x%2B3%5Cleq%200%20%7D%20%5Catop%20%7Bx-2%5Cgeq%200%7D%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7B2x%2B3%5Cgeq%200%7D%20%5Catop%20%7Bx-2%5Cleq%200%7D%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7Bx%5Cleq-%5Cfrac%7B3%7D%7B2%7D%20%20%7D%20%5Catop%20%7Bx%5Cgeq%202%7D%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7Bx%5Cgeq-%5Cfrac%7B3%7D%7B2%7D%20%7D%20%5Catop%20%7Bx%5Cleq%202%7D%7D%20%5Cright.%20%5C%5C)
x∈∅![[-\frac{3}{2},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B3%7D%7B2%7D%2C2%5D)
------------------------------------------------
![x^{2} -49>0\\x^{2}>49\\|x|>7\\x>7,x\geq 0\\-x>7,x<0\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-49%3E0%5C%5Cx%5E%7B2%7D%3E49%5C%5C%7Cx%7C%3E7%5C%5Cx%3E7%2Cx%5Cgeq%200%5C%5C-x%3E7%2Cx%3C0%5C%5C)
x∈{7,+∞}
x<-7,x<0}
x∈{7,+∞}
x∈{-∞,-7}
x∈{-∞,-7}∪{7+∞}
----------------------------------------
![x^{2} <-6x\\x^{2}+6x<0\\x*(x+6)<0\\\left \{ {{x<0} \atop {x+6>0}} \right. \\\left \{ {{x>0} \atop {x+6<0}} \right. \\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3C-6x%5C%5Cx%5E%7B2%7D%2B6x%3C0%5C%5Cx%2A%28x%2B6%29%3C0%5C%5C%5Cleft%20%5C%7B%20%7B%7Bx%3C0%7D%20%5Catop%20%7Bx%2B6%3E0%7D%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7Bx%3E0%7D%20%5Catop%20%7Bx%2B6%3C0%7D%7D%20%5Cright.%20%5C%5C)
x∈{-6,0}
x∈∅
x∈{-6,0}
1. (х\2-х\3)*5\х^2=(3x\6+2x\6)*5\x^2=x\6*5\x^2=5\6x