Home
Class 12
MATHS
Find two positive numbers x and y such t...

Find two positive numbers x and y such that `x+y = 60` and `xy^3` is maximum.

Promotional Banner

Topper's Solved these Questions

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -B|78 Videos

  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

Similar Questions

Explore conceptually related problems

Find two positive numbers x and y such that their sum is 35 and the product x^2y^5 is a maximum.

Find two positive numbers 'x' and 'y' such that their sum is 35 and product x^2y^5 is maximum.

Find two positive numbers x and y such that their sum is 35 and product x^(2)y^(5) is maximum.

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

Find the least value of 3x+4y for positive values of x and y, dubject to the condition x^(2)y^(3)=6 .

If x and y are positive integers such that, xy+x+y=71,x^2 y+xy^2=880, then x^2+y^2= a)125 b)137 c)146 d)152

OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -C
  1. Find (dy)/(dx) if xy^2 + y^2 = tan x + y

    Text Solution

    |

  2. If y = 500e^(7x), show that (d^2y)/(dx^2) = 49 y

    Text Solution

    |

  3. Evaluate int(x+3)sqrt(3-4x-x^(2))dx

    Text Solution

    |

  4. Evaluate int e^(x)(1/x-1/(x^(2)))dx.

    Text Solution

    |

  5. Evaluate : int0^(pi/2) (sin^(3/2)x)/(sin^(3/2)x+cos^(3/2)x)dx.

    Text Solution

    |

  6. Solve the differntial equation (dy)/(dx)+y/x=x^(2)

    Text Solution

    |

  7. Solve the differential equation (dy)/(dx)=(x+1)/(2-y),(y!=2)

    Text Solution

    |

  8. Show that the four points with position vectors 4hati+8hatj+12hatk,2ha...

    Text Solution

    |

  9. Find the angle between the pair of lines (x-5)/7=(y+2)/(-5)=z/1 and x...

    Text Solution

    |

  10. A couple has two children, find the probability that both children are...

    Text Solution

    |

  11. Find the probability distribution of number of heads in four tosses of...

    Text Solution

    |

  12. If is known that 10% of certain articles manufactured are defective. W...

    Text Solution

    |

  13. Solve the following system of linear equations by matrix method : 3x -...

    Text Solution

    |

  14. Find the equations of the tangent and normal to the hyperbola x^2/a^2 ...

    Text Solution

    |

  15. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

    Text Solution

    |

  16. Find the area of the region bounded by (y^2=4ax) and its latus rectum ...

    Text Solution

    |

  17. Area lying between the curve y^2 = 4x and the line y = 2x is :

    Text Solution

    |

  18. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

    Text Solution

    |

  19. Find the coordinates of the point where the line through (5,1,6) and (...

    Text Solution

    |

  20. Solve the following linear programming problem graphically : Maximize ...

    Text Solution

    |