TC=(TF-32)*5/9
20=(TF-32)*5/9
TF-32=36
TF=78 (minimum)
TF-32=54
TF=86 (max)
3) f(x) = (6x -1)⁻⁵
f'(x) = -5(6x -1)⁻⁶ * (6x -1)' = -30/(6x -1)⁶
f'(x₀) = f'(1/3) = -30/(6*1/3 -1)⁶ = -30
4) f(x) = √(3x² +4)
f'(x) = 1/2√(3x² +4) * (3x² +4)' = 6x/2√(3x² +4) = 3x/√(3x² +4)
5) f(x) = x⁵ - 3 1/3 x³ +5x
f'(x) = 5x⁴-10x² +5
f'(x₀) = f'(-1) = 5 -10 +5 = 0
Учтём, что 2ˣ *5ˣ = 10ˣ ; уравнение сократим На 0,01
Получим: 10ˣ = 0,01*10³ˣ⁺³
Решаем:
10ˣ = 10⁻²*10³ˣ⁺³
10ˣ = 10³ˣ⁺¹
х = 3х +1
2х = -1
х = - 0,5
140=2*2*5*7
N(140)=3*2*2=12
1,2,4,5,7,10,14,20,28,35,70,140