Home
Class 11
MATHS
In how many parts an integer N>=5 shoul...

In how many parts an integer `N>=5` should be dissected so that the product of the parts is maximized.

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

A farmer was having a field in the form of a parallelogram PQRS. She took any point Aon RS and joined it to points P and Q. In how many parts the fields is divided? Whatare the shapes of these parts? The farmer wants to sow wheat and pulses in equalportions of the field separately. How should she do it?

By what number should we multiply 3/(-14), so that the product may be 5/(12)dot

By what number should we multiply 3/(-14), so that the product may be 5/(12)dot

A stick of length 20 units is to be divided into n parts so that the product of the length of the parts is greater than unity. The maximum possible value of n, is

By what number should ((-5))/(7) be multiplied so that the product is ((-15))/(28) ?

By what number should 5^(-1) be multiplied so that the product may be equal to (-7)^(-1)?

By what number should (5/3)^(-2) be multiplied so that the product may be (7/3)^(-1)?

By what number should we multiply (-15)/(28) so that the product may be (-5)/7?

Divide 29 into two parts so that the sum of the squares of the parts is 425.

By what number should 5^(-1) be multiplied so that product may be equal to (-7)^(-1)?

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Prove that 2/(b+c)+2/(c+a)+2/(a+b)lt1/a+1/b+1/c ,where a ,b ,c>0.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If x+y+z=1a n dx ,y ,z are positive, then show that (x+1/x)^2+(y+1/y)^...

    Text Solution

    |

  7. The least value of 6tan^2varphi+54cot^2varphi+18 is (I)54 when A.M.g...

    Text Solution

    |

  8. A rod of fixed length k slides along the coordinates axes, If it meet...

    Text Solution

    |

  9. If y=3^(x-1)+3^(-x-1) , then the least value of y is (a)2 (b)6 (c...

    Text Solution

    |

  10. If a b^2c^3, a^2b^3c^4,a^3b^4c^5 are in A.P. (a ,b ,c >0), then the mi...

    Text Solution

    |

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

    Text Solution

    |

  12. Minimum value of (b+c)//a+(c+a)//b+(a+b)//c (for real positive number...

    Text Solution

    |

  13. Prove that px^(q - r) qx^(r - p) + rx^(p - q) gt p + q + r where p,q,...

    Text Solution

    |

  14. Given are positive rational numbers a ,b , c such that a+b+c=1, then p...

    Text Solution

    |

  15. Prove that [(a^2+b^2)/(a+b)]^(a+b)> a^a b^b >{(a+b)/2}^(a+b)dot

    Text Solution

    |

  16. Prove that a^p b^ q <((a p+b q)/(p+q))^(p+q)dot

    Text Solution

    |

  17. Let x1, x2, ,xn be positive real numbers and we define S=x1+x2++xndot...

    Text Solution

    |

  18. If 2x^3 +ax^2+ bx+ 4=0 (a and b are positive real numbers) has 3 real ...

    Text Solution

    |

  19. Find the greatest value of x^2y^3z^4 if x^2+y^2+z^2=1,w h e r ex ,y ,z...

    Text Solution

    |

  20. Prove that nC1(nC2)^2(n C3)^3.......(n Cn)^n le ((2^n)/(n+1))^((n+1)C2...

    Text Solution

    |