Решение:
1) 40√3·√3/2·(-√2/2)=20·√3·√3·(-√2/2)=10·3·(-√2)=-30√2
2) 8√6 ·√2/2 ·(-√3/2)=4√6·√2·(-√3/2)=2√6·√2·(-√3)=-2√6·2·3=-2√36=-2·6=-12
3) 14√6 ·√3/2· (-√2/2)=7√6·√3·(-√2/2)=-7√18·(√2/2)
4) 28/(sin(-25π/4)cos(23π/4))=28/(-sin(6π+π/4)cos(5π+3π/4))=28/(-√2/2)·(1+(-√2/2))=14/(-√2/)·(1-√2/2)
5)23/(sin(-23π/6)cos(23π/3))=23/(sin(-3π+5π/6)cos(7π+2π/3))=23/(-1/2)(1-1/2)=23/(-1/4)=-23/4<span>
6)60/(sin(-32π/3)cos(35π/6))=60/(</span>sin(-10π +2π/3)cos(5π+5π/6))=60/(-√3/2)(1+(-√3/2))=-30√3·(1-√3/2)=-30√3+15·3=-30√3+45<span>
7)54/(sin(-28π/3)cos(23π/6))=</span>54/(-sin(9π)cos(5π+3π/6))=54/(0·cos(5π+3π/6)=54/0<span>
8)33√2cos(495°)=</span>33√2cos(360°+135°)=33√2cos(2π+3π/4)=33√2·(1-√2/2)=33√2-33√2·(√2/2)=33√2-33·2/2=33√2-33
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1) f(x)=x^2-2x+3/4
f`(x)= 2x-2
2x-2=0
2x=2
x=1
О: xmin=1
2) f(x)=4-8x-5x^2
f`(x)= -8-10x
-8-10x=0
-10x=8
x=8/10 = 4/5
O: xmin=4/5
3) f(x)= x^4/4-x+5
f`(x)= x^3-1
x^3-1=0
x^3=1
x= 1
O: xmin=1
<span>6х^2-2х+3=х^2-11х-1
</span>6х^2-х^2-2х+11х=-1-3
5х^2+9х=-4
5х(х+9)=-4
5х=-4 х=?
х=-0,8
Решение
(g−p)3
Умножаем каждый член в скобках на 3
3g-3p