Y(-x)=(-x)²|(-x)³|+(-x)^4 = x²|x³|+x^4 = y(x)
y(-x) = y(x) - четная функция
(√5)^(㏒₂3) / (√3)^(㏒₂5) = 5 ^((1/2)*㏒₂3) / 3^((1/2)*㏒₂5) =
= ㏒₂ 5 ^((1/2)*㏒₂3) / ㏒₂ 3^((1/2)*㏒₂5) = (1/2)*㏒₂ 3* ㏒₂ 5 / (1/2)*㏒₂5* ㏒₂ 3 =1
Разностное отношение Δf /Δx =(f(x_+Δx)-f(x_)) / <span>Δx
Получаем: </span>Δf /Δx =((x+Δx)-1-(x-1)) / Δx=Δx / <span>Δx =1</span>
Cos(2П-2x)+3sin(П-x)=2
cos2x + 3sinx = 2
1 - 2sin²x + 3sinx - 2 = 0
2sin²x - 3sinx + 1 = 0
sinx = t
2t² - 3t + 1 = 0
D = 9 - 4*2*1 = 1
t₁ = (3 - 1)/4
t₁ = 1/2
t₂ = (3 + 1)/4
t₂ = 1
1) sinx = 1/2
x = (-1)^n *arcsin(1/2) + πk, k∈Z
x₁ = (-1)^n* (π/6) + πk, k∈Z
2) sinx = 1
x₂ = π/2 + πn, n∈Z
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