Home
Class 11
MATHS
If x ,y in R^+ satisfying x+y=3, then t...

If `x ,y in R^+` satisfying `x+y=3,` then the maximum value of `x^2y` is.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If x,y in R and satisfy (x+5)^2+(y-12)^2=14^2 then the minimum value of x^2+y^2 is

If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum value of sqrt(x^2+y^2) is__________

If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum value of sqrt(x^2=y^2) is__________

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

If x^2+y^2=4 then find the maximum value of (x^3+y^3)/(x+y)

If x + y=4 and x >=0, y>= 0 find the maximum value of x^3y .

If (x,y) lies on the ellipse x^(2)+2y^(3) = 2 , then maximum value of x^(2)+y^(2)+ sqrt(2)xy - 1 is

If (log)_(10)(x^3+y^3)-(log)_(10)(x^2+y^2-x y)lt=2, and x ,y are positive real number, then find the maximum value of x ydot

If x,y in R satisfy the equation x^2 + y^2 - 4x-2y + 5 = 0, then the value of the expression [(sqrtx-sqrty)^2+4sqrt(xy)]/((x+sqrt(xy)) is

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a , b , c , are positive real numbers, then prove that (2004, 4M) {...

    Text Solution

    |

  2. True / False For every intger n >1 , the inequality (n !)^(1//n)<(n+1)...

    Text Solution

    |

  3. If x ,y in R^+ satisfying x+y=3, then the maximum value of x^2y is.

    Text Solution

    |

  4. For anyx ,y , in R^+,x y >0 . Then the minimum value of (2x)/(y^3)+(x...

    Text Solution

    |

  5. If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value o...

    Text Solution

    |

  6. Given that x ,y ,z are positive real such that x y z=32. If the minimu...

    Text Solution

    |

  7. If the product of n positive numbers is n^n , then their sum is (a)...

    Text Solution

    |

  8. If a,b,c are different positive real numbers such that b+c−a,c+a−b and...

    Text Solution

    |

  9. Find the greatest value of x^2 y^3, where x and y lie in the first qua...

    Text Solution

    |

  10. Find the maximum value of (7−x)^4 (2+x)^5 when x lies between −2 and ...

    Text Solution

    |

  11. If a1, a2,...... ,an >0, then prove that (a1)/(a2)+(a2)/(a3)+(a3)/(a4...

    Text Solution

    |

  12. If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)...

    Text Solution

    |

  13. If a ,b ,a n dc are positive and a+b+c=6, show that (a+1//b)^2+(b+1/...

    Text Solution

    |

  14. Prove that [(x^2+y^2+z^2)/(x+y+z)]^(x+y+z)> x^x y^y z^z >[(x+y+z)/3]^(...

    Text Solution

    |

  15. Prove that 1^1xx2^2xx3^3xxxxn^nlt=[(2n+1)//3]^(n(n+1)//2),n in Ndot

    Text Solution

    |

  16. Prove that 2/(b+c)+2/(c+a)+2/(a+b)lt1/a+1/b+1/c ,where a ,b ,c>0.

    Text Solution

    |

  17. The minimum value of 2^sinx+2^cosx

    Text Solution

    |

  18. In how many parts an integer N>=5 should be dissected so that the pro...

    Text Solution

    |

  19. In triangle ABC internal angle bisector AI,BI and CI are produced to m...

    Text Solution

    |

  20. The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...

    Text Solution

    |