14х4у/49х3у2=2(7х-2у)/49х3у2=7х-2у/49х3у
Вроде бы все.
1
y`=0-3=-3
2
a)y`=-3sinx+4
y`(0)=-3sin0+4=4
b)y`=(2x²+6x-4x²-6x+10x+15)/(x²+3x)²=(-2x²+10x+15)/(x²+3x)²
3
v(t)=s`(t)=1/2*t
1/2*t=4
t=8
4
f(π/2)=2cosπ/2-3=2*0-3=-3
f`(x)=-2sinx
f`(π/2)=-2sinπ/2=-2*1=-2
Y=-3-2(x-π/2)=-2x-3+π
5
f`(x)=11-6x
11-6x=-1
6x=12
x=2
6(1 - Cos²x) - Cosx - 5 = 0
6 - 6Cos²x - Cosx -5 = 0
6Cos²x + Cosx -1 = 0
D = 25
Cosx = (-1+5)/12= 1/3 б) Cosx = (-1 -5)/12 = -1/2
x = +-arcCos1/3 + 2πk, k ∈Z x = +-2π/3+ 2πn, n ∈Z