(х^2-2)(х^2+2).................
Решение:
lg2-lg0.2=lg(2/0.2)=lg10=1
F(x) = 3x⁴ - 4x³ - 12x² + 3
f '(x) = 3(x⁴)' - 4(x³)' - 12(x²)' + 3' = 12x³ - 12x² - 24x
f '(x) < 0
12x³ - 12x² - 24x < 0
x³ - x² - 2x < 0
x(x² - x - 2) < 0
x(x - 2)(x + 1) < 0
- + - +
____________₀__________₀__________₀____________
- 1 0 2
x ∈ (- ∞ ; - 1) ∪ (0 ; 2)
1. b₁=0.3
q=2
b₂=b₁*q=0.3*2=0.6
b₃=b₂*q=0.6*2=1.2
b₄=b₃*q=1.2*2=2.4
b₅=b₄*q=2.4*2=4.8
2. b₁=27
q=1/3
b₂=b₁*q=27*¹/₃=9
b₃=b₂*q=9*¹/₃=3
b₄=b₃*q=3*¹/₃=1
3. a₁=²/₃
d=-¹/₃
a₈=a₁+7d=²/₃-7*¹/₃=²/₃-⁷/₃=-⁵/₃