X<1783-1/3
x<1782 2/3
x∈(-∞;1782 2/3)
V=4/3πR³
4/3πR³ = 36π
4/3R³ = 36
R³ = 36 : 4/3 = 27
R=3
D = 2R = 6см
1) sinx < -1/2
-π/6 + 2πk < x < -5π/6 + 2πk
2) sinx > 1/2
π/6 + 2πk < x < 5π/6 + 2πk
Рисунок с окружностью прикреплен
(4²)^(sinxcosx)=4^(√3sinx)
<span>2sinxcosx=√3sinx </span>
<span>sinx(2cosx-√3)=0 </span>
<span>1) sinx=0 </span>
<span>x=πn,n∈Z </span>
<span>2) 2cosx-√3=0 </span>
<span>cosx=√3/2 </span>
<span>x=±π/6+2πk,k∈Z.</span>
2x-5>2-x+2
0.6(3x-2)+9>4x-1.5(x-1)
3x>9
1.8x-1.2+9-4x+1.5x-1.5>0
x>3
- 0.7x>6.3
x>3
x<9
(3;9)
8 - наибольшее целое