6x-14-5≤3x-11
6x-3x≤-19-11
3x≤8
x≤8/3
(sinx+sin5x)+(sin8x-sin2x)=0
2sin3xcos2x+2sin3xcos5x=0
2sin3x*(cos2x+cos5x)=0
4sin3x*cos7x/2cos3x/2=0
sin3x=0⇒3x=πn⇒x=πn/3
cos7x/2=0⇒7x/2=π/2+2πk⇒x=π/7+4k/7,k∈z
cos3x/2=0⇒3x/2=π/2+2πk⇒x=π+4m/3,m∈z
Prjamaja y = -2x+4 imeet točky perecečenija s koordinatami: X/2,0/ i Y/0,4./
S(XOY) = 0,5.2.4 = 4
ОДЗ:
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{x+7≥0 {x≥-7 ---[-7]-------------------->
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{x-2≥0 {x≥2 -------------[2]----------->
x≥2
Ответ: х=18
На примере в) раскроем скобки 2*3x-2 = 6x-2