For any x,y R,xy> 0, then the minimum value of equals
amitnrw:
minimum value of What
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Answered by
0
Answer:
it cannot be explained
Step-by-step explanation:
in case of real no, there are infite no.s between tow real nos. even in between 0 and 1, there are unlimited real nos.
so a this question cannot be answered correctly.
if you have further query, do let me know. i will solve for you.
Answered by
1
Step-by-step explanation:
Given For any x,y ∈ R,xy> 0, then the minimum value of equals 2x / y^3 + x^3 y / 3 + 4y^2 / 9x^4
- So to find minimum value AM ≥ GM
- If we consider p,q,r we get p + q + r / 3 ≥ (p.q.r)^1/3
- Now 2x / y^3 + x^3y / 3 + 4y^2 / 9x^4 / 3 ≥ (2x / y^3 . x^3y/3 . 4y^2 / 9x^4)^1/3
- ≥ (8/27)^1/3
- ≥ (2^3 / 3^3)^1/3
- 2x/y^3 + x^3y/3 + 4y^2 / 9x^4 / 3 ≥ 2/3
- So 2x / y^3 + x^3y / 3 + 4y^2 / 9x^4 ≥ 2
so the minimum value is 2
Reference link will be
https://brainly.in/question/17738770
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