It is known that the function f (x) = ax ^ 3 + BX ^ 2 + CX + D is an odd function, and when x = - radical 3 / 3, f (x) gets the minimum value - 2 radical 3 / 9 2、 Find the values of all positive real numbers n such that equation-1 / 3F '(x) - NX + 4N + 1 / 3 = 0 has only integer roots 3、 Let g (x) = | f (x) + (3t-1) x | (x ∈ [- 1,1]), find the maximum f (T) of G (x)

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• 1. The function f (x) = 1 / 3x3-x + C defined on R If the minimum value of the domain y = f (x) in the interval [0, positive infinity] is 7 / 3, find C
• 2. The function f (x) = | x + 1 | + | ax + B | (B ≠ 1), if there are three unequal real numbers x1, X2, X3, such that f (x1) = f (x2) = f (x3), then a =?
• 3. Given that the function f (x) = x ^ 4 + ax ^ 3 + 2x ^ 2 + B, XAB belongs to R. if the function f (x) has an extreme value only at x = 0, find the value range of A Who can help me explain why the derivative function is obviously not a root when x = 0?
• 4. X-7 = x-4, then x is a number, and the absolute value of those rational numbers is smaller than itself most urgent
• 5. The reasoning process of the formula of binomial theorem
• 6. Ask two mathematical formulas (binomial theorem) （a+b）^5 + (a-b)^5 (a+b) ^4 - (a-b)^4
• 7. It is proved by mathematical induction that 32n + 2-8n-9 (n ∈ n) can be divisible by 64
• 8. On the problem of binomial theorem: in the 99 th power expansion of (a + b), the term with the smallest coefficient is?
• 9. Seeking help from an exercise of binomial theorem in Senior High School (1+x)^3+(1+x)^4+… +In the expansion of (1 + x) ^ 2004, the coefficient of x ^ 3 is equal to () A.C2004 4 B.C2005 4 C.2C2004 3 D.2C2005 3 Note: c2004 4 is the combination number, 2004 in the bottom, 4 in the top
• 10. Binomial theorem for expansion of the constant term, who can give me an example to see
• 11. The square of 2x-7x-19x + 60 has a factor 2x-5. Try to factorize the original polynomial
• 12. Factorization of a ^ 4-14a ^ 2B ^ 3 + 49b ^ 6
• 13. 16 (a-b) ^ 2-24 (a + b) (a-b) + 9 (a + b) ^ 2 factorization factor
• 14. Decomposition factor 16 (a + b) ^ 2-24 (a + b) + 9
• 15. Factorization: (B + 2) (B-8) + 25
• 16. Factorization of 2 (m ^ 2 + n ^ 2) ^ 2-8m ^ 2n ^ 2
• 17. Ask for advice online, etc. x ^ 9 + x ^ 6 + x ^ 3-3
• 18. Factorization (y ^ 2-1) ^ 2-6 (y ^ 2-1) + 9
• 19. How to factorize a + B We know that a + B = 7, AB + 10
• 20. Factorization: (a + b) ^ 3 - (a + b) a^2(x-y)^2-b^2(y-x)^2 (5a^2-2b^2)^2-(2a^2-5b^2)^2 It is calculated by a simple method 57^2×0.01-43^2×0.01