Using the mean inequality method to find the range and the maximum value: y = x ^ 2 × (3-2x)
There should be a range of X in the title, which is estimated to be 0
RELATED INFORMATIONS
- 1. Find the maximum value of F (x), using the mean inequality! Let x > - 1, find the inequality of the maximum mean value of F (x) = (x + 5) * (x + 2) / (x + 1)~ And the maximum~~~~
- 2. The minimum value of the X + 1 power of y = 2 + the - x power of 2 is? (using mean inequality)
- 3. The mean inequality problem, It is known that ABCD > A ^ 2 + B ^ 2 + C ^ 2 + D ^ 2, ABCD is a real number
- 4. Let a, B and C be positive real numbers, and prove that 12a + 12b + 12C ≥ 1b + C + 1C + A + 1A + B
- 5. The question of mean inequality X + y + Z = Pi, find the maximum value of SiNx + siny + Sinz The sum difference product is (3 / 2) * radical 2, but if we use the mean inequality, SiNx + siny + Sinz > = 3 (sinxsinysinz) ^ (1 / 3). When x = y = z = pi / 3, we take equality, and the minimum value is (3 / 2) * radical 2. What's the matter? 0
- 6. A and B leave each other from two places 360 km away. It is known that the speed of a is 60 km / h and that of B is 40 km / h. If a leaves for one hour first, how long will it take for B to meet each other?
- 7. A plane flies between two cities, The wind speed is 24 km / h, it takes 2 hours and 50 minutes to follow the wind. It takes 3 hours to fly against the wind. To find the distance between the two cities and the speed of the aircraft itself, we need to use the one member first-order equation!
- 8. The goods can be transported 6 / 5 in 6 days by ab. if the goods are transported alone, it takes the same time for a to transport 3 / 1 and B to transport 2 / 1
- 9. A batch of saplings were transported to afforest the campus. 82 saplings were transported for the first time and 78 saplings were transported for the second time. Four fifths of the total saplings were transported for the second time. How many saplings are there in total
- 10. There are 60 male workers in the first workshop. Male workers are one third of female workers. How many female workers are there?
- 11. Mean inequality when 0
- 12. Given that X and y are greater than zero. 1 / x + 2 / y + 1 = 2, then the minimum value of 2x + y is the mean inequality,
- 13. The range of y = x + x-3 / 1 (x is greater than 3) is determined by means inequality method
- 14. FX = x (1-x & # 178;) for fixed value (mean inequality)
- 15. Prove 1-p (a ~) - P (b ~)
- 16. A proof of inequality Given that a, B and C are positive real numbers and ab + BC + Ca = 3, it is proved that a ^ 2 + B ^ 2 + C ^ 3 + 3ABC ≥ 6 That's right!
- 17. Algebraic inequality 1 Let x, y, Z ∈ R +, prove: X √ [x / (1 + YZ)] + y √ [y / (1 + ZX)] + Z √ [Z / (1 + XY)] ≥ 3 / √ (1 + XYZ)
- 18. A proof of mathematical inequality P ≥ 0, Q ≥ 0, P + q = 1 AP + BQ and √ (A & # 178; P + B & # 178; q) ratio
- 19. Prove the inequality a ^ 5 + B ^ 5 ≥ a ^ 3B ^ 2 + A ^ 2B ^ 3 (a > 0, b > 0)
- 20. Let a and B be positive numbers, and prove the following inequality (1.) B / A + A / b ≥ 2 (2.) a + 1 / a ≥ 2