10
11
12
13
f`(x)=3*(3x-2)²*3+3/2*√(2x+5)*2=9(3x-2)²+3√(2x+5)
14
15
16
Ответ:
<u>3</u>
Объяснение:
=5m-9/m-2 +3-2m/m-2 =5m-9 +3 -2m/m-2 = 3(m-2)/m-2 =3
<u />
Sin7π/2+cos5π=sin(4π-π/2)+cos(4π+π)=-sinπ/2+cosπ=-1-1=-2
Ответ:
1. x₁=0, x₂=0,5, x₃=-0,5
2. x₁=0,x₂,₃=1/13
3. x₁=5, x₂=-5, x₃=2
Объяснение:
1. 36x³-9x=0
9x*(4x²-1)=0, 9x*(2x-1)*(2x+1)=0
9x=0 или 2x-1=0 или 2х+1=0
x=0 x=1/2 x=-1/2
x₁=0, x₂=0,5, x₃=-0,5
2. 169x³-26x²+x=0
x*(169x²-26x+1)=0
x*((13x)²-2*13x*1+1²)=0, x*(13x-1)²=0, x*(13x-1)*(13x-1)=0
x₁=0, x₂,₃=1/13
3. x³-2x²-25x+50=0, (x³-2x²)-(25x-50)=0
x²*(x-2)-25*(x-2)=0, (x²-25)*(x-2)=0, (x-5)*(x+5)*(x-2)=0
x-5=0 или х+5=0 или х-2=0
x₁=5, x₂=-5, x₃=2
An = a1 + (n-1)d
Система:
a2 + a8 = 10
a3 + a14 = 3
(a1 + d) + (a1 + 7d) = 10
(a1 + 2d) + (a1 + 13d) = 3
2a1 + 8d = 10
2a1 + 15d = 3
2a1 = 10 - 8d
10 - 8d + 15d = 3
7d = 3 - 10
7d = -7
d = -1
a1 = 10 - 8*(-1) = 10 + 8 = 18
a5 = a1 + 4*d = 18 + 4*(-1) = 18 - 4 = 14