(sin(x))^3 - sin(x) - cos(x) = 0
sin(x) * ((sin(x))^2 - 1) - cos(x) = 0
sin(x) * ((1 - (cos(x))^2) - 1) - cos(x) = 0
sin(x) * (cos(x))^2 + cos(x) = 0
cos(x) * (sin(x) * cos(x) + 1) = 0
sin(x) * cos(x) = -1
0.5 * sin(2*x) = -1
sin(2*x) = -2
решения нет
остается:
cos(x) = 0
............................................
1) An=A₁+d(n-1)
d=35-38=-3
-7=38-3(n-1)
3n-3=38+7
3n=48
n=16
Sn=n(A₁+An)/2=16(38-7)/2=<em><u>248</u></em>
2)An=A₁+d(n-1)
d=9-7=2
133=7+2n-2
2n=128
n=64
Sn=n(A₁+An)/2=64(7+133)/2=<em><u>4480</u></em>
3)An=A₁+d(n-1)
d=128-127=1
127+n-1=154
n=28
Sn=n(A₁+An)/2=28(127+154)/2=<em><u>3934</u></em>
<span>x+3y=4</span>
<span>x^2-xy=8</span>
<span>x+3y=4</span>
y=(-x+4)/3
x^2-xy=8
x^2-x*((-x+4)/3)=8
4/3x^2-4/3x-8=0
D=(-4/3)^2-4*4/3*(-8)=400/9
x1=(20/3-(-4/3))/(2*4/3)=3
x2=(-20/3-(-4/3))/(2*4/3)=-2
x+3y=4
3+3y=4
y1=1/3
(-2)+3y=4
y2=2