1. y=log₂(2x+3)
2.y=1/3cos(3x-π/2)-π³-e², x₀=π/3
y'=1/3 (-sin(3x-π/2))*3=-sin(3x-π/2)
y'(x₀)=-sin(3*π/3-π/2)=-sin(π-π/2)=-sin(π/2)=-1
3. y=x², x₀=0,25
y'=2x
k=y'(x₀)=2*0,25=0,5
4. sin(π/6-3x)-1/2=0
sin(π/6-3x)=1/2
π/6-3x=π/2+2πn
3x=π/6-π/2+2πn=π/6-3π/6+2πn=-2π/6+2πn=-π/3+2πn
x=-π/9+2πn/3 , n∈Z
4*4x -33*2x +8 =0
16x -66x = -8
-50x = -8
x = 8/50
x =0.16
4 2/3-x+1/3= 3 2/5
-x=3 2/5-1/3-4 2/3
-x=3 6/15-5/15- 4 10/15
-x=-1 9/15
x=1 3/5
x=1,6
S = √(p(p - a)(p- b)(p - c))
p = (a+b+c)/2 = (13+14+15)/2 = 21
S = √(21*8*7*6) = √(7^2*2^2*2^2*3^2) = 7*2*2*3 = 84
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