![5^{3x-1}=0,2\\5^{3x-1}=5^{-1}\\3x-1=-1\\3x=-1+1\\3x=0\\x=0](https://tex.z-dn.net/?f=5%5E%7B3x-1%7D%3D0%2C2%5C%5C5%5E%7B3x-1%7D%3D5%5E%7B-1%7D%5C%5C3x-1%3D-1%5C%5C3x%3D-1%2B1%5C%5C3x%3D0%5C%5Cx%3D0)
![( \frac{6}{11})^{ \frac{4x+1}{x} } \leq \frac{121}{36}\\\\( \frac{6}{11})^{ \frac{4x+1}{x} } \leq (\frac{6}{11})^{-2}\\\\0\ \textless \ \frac{6}{11}\ \textless \ 1\\\\ \frac{4x+1}{x} \geq -2\\\\ \frac{4x+1}{x}+2 \geq 0\\\\ \frac{4x+1+2x}{x} \geq 0\\\\ \frac{6x+1}{x} \geq 0\\\\ \frac{6(x+ \frac{1}{6} }{x} \geq 0](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B6%7D%7B11%7D%29%5E%7B%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%20%7D%20%5Cleq%20%20%5Cfrac%7B121%7D%7B36%7D%5C%5C%5C%5C%28%20%5Cfrac%7B6%7D%7B11%7D%29%5E%7B%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%20%7D%20%5Cleq%20%20%28%5Cfrac%7B6%7D%7B11%7D%29%5E%7B-2%7D%5C%5C%5C%5C0%5C%20%5Ctextless%20%5C%20%20%5Cfrac%7B6%7D%7B11%7D%5C%20%5Ctextless%20%5C%201%5C%5C%5C%5C%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%20%5Cgeq%20-2%5C%5C%5C%5C%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%2B2%20%5Cgeq%200%5C%5C%5C%5C%20%5Cfrac%7B4x%2B1%2B2x%7D%7Bx%7D%20%5Cgeq%200%5C%5C%5C%5C%20%5Cfrac%7B6x%2B1%7D%7Bx%7D%20%5Cgeq%200%5C%5C%5C%5C%20%5Cfrac%7B6%28x%2B%20%5Cfrac%7B1%7D%7B6%7D%20%7D%7Bx%7D%20%20%5Cgeq%200%20%20%20%20%20%20%20)
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______________[-1/6]______________(0)_________________
x∈(-∞;-1/6]U(0;+∞)
1) -2sin2x
2) -sin2/x
3) 2<span>√3x-9
4) -30*(6x-1)^-6
5) 4/3*cos(2x/3)</span>
Sin5acos3a-cos5asin3a-sin2a
sinacosb-cosasinb=sin(a-b)
sin(5a-3a)=sin2a
sin2a=sin2a
sin87-sin59-sin93+sin61=sin1
sin(90-3)-sin59-sin(90+3)+sin61=cos3-sin59-cos3+sin61=sin61-sin59=
=2sin(61-59)/2cos(59+61)/2=2sin1cos60=2*1/2*sin1=sin1
sin1=sin1