Пошаговое объяснение:
1 пример:
1) 2. 2/15 * 6. 1/4 = 32/15 * 25/4 = 8/3 * 5/1 = 40/3 =
13. 1/3
2) 5. 1/3 * 1. 1/8 = 16/3 * 9/8 = 2/1 * 3/1 = 6/1 = 6
3) 13. 1/3 - 6 = 7. 1/3
4) 1/3 * 7. 1/3 = 1/3 * 22/3 = 22/9 = 2. 4/9
5) 2. 4/9 + 4. 5/9 = 6. 9/9 = 7
ответ: 7
2 пример:
1) 12. 7/12 - 9. 19/36 = 12. 21/36 - 9. 19/36 = 3. 2/36 =
3. 1/18
2) 1. 4/5 * 3. 1/18 = 9/5 * 55/18 = 1/1 * 11/2 = 11/2 = 5. 1/2
3) 17/35 * 1. 11/34 = 17/35 * 45/34 = 1/7 * 9/2 = 9/14
4) 5. 1/2 - 9/14 = 5. 7/14 - 9/14 = 4. 21/14 - 9/14 = 4. 12/14 =
4. 6/7
5) 1. 2/5 * 4. 6/7 = 7/5 * 34/7 = 34/5 = 6. 4/5
6) 30. 4/5 - 6. 4/5 = 24
ответ: 24
Пошаговое объяснение:
12. Перепишем в удобоваримый вид
f(x) = х - 2x^(-2) - 1/3*x^(-3)
f'(x) = 1 +4x^(-3) +x^(-4) = 1+4/x^3 + 1/x^4
f'(-1) = 1-4+1 = -2
13) y' = 2x^2 +3x -20 = 0
D = 9 + 160 = 169 = 13^2
x1 = (-3-13)/4 = -4
x2 = (-3+13)/4 = 2,5
+ - +
-42,5
/ \ /
возрастает: x∈(-беск;-4] U [2,5;+беск)
убывает: x∈[-4;2,5]
14. F(x) = 5/2*x^2 - 1/3*x^3 + С
x=0, x=5 (график приложил)
S = F(5) - F(0) = 5/2*25 - 1/3*125 - 0 = (375 - 250)/6 = 125/6 кв ед.
