Home
Class 12
PHYSICS
Use the approximation (1+x)^(n)~~1+nx,|x...

Use the approximation `(1+x)^(n)~~1+nx,|x|ltlt1,` to find approximate value for
(a)`sqrt(99)`
(ii)`(1)/(1.01)`

Text Solution

Verified by Experts

The correct Answer is:
(a) 9.95, (b) 0.99
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (VECTORS)|60 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Units, Dimensions & Measurements)|30 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Graphs))|29 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

Find the approximate value of (1. 999)^6 .

Find the approximate value of (1. 999)^6 .

Find the approximate value of 25^(1//3)

The approximate value of (33)^(1/5) is

Find the approximate value of (26)^(1/3) .

Find the approximate value of (26)^(1/3) .

Using differentials, find the approximate value of sqrt(26)

Using differentials, find the approximate value of sqrt(37)

If f(x)=3x^(2)+4x-1 , then find the approximate value of f(3.1) .

Find the approximate value of (0. 0037)^(1/2) .

ALLEN-RACE-Basic Maths (Co-ordinate & Algebra)
  1. x-y relation is given by y=x^(n) calculate the value of n in the follo...

    Text Solution

    |

  2. 4sqrt(6)xx3sqrt(24)= :-

    Text Solution

    |

  3. If y=propx^(4) Whenx=1000, y=y(1) then find the value of x so that...

    Text Solution

    |

  4. If yx^(2)/(3)="constant" when x=x(1), then y=300, then find the y wh...

    Text Solution

    |

  5. Givne (x)/(y)=(5)/(6) now x is reduced by 62 and the ratio of x and ...

    Text Solution

    |

  6. Given, P prop T on increasing the value of T by 1^(@)C, the value of ...

    Text Solution

    |

  7. If x^(3)=9x, then find all possible values of x :-

    Text Solution

    |

  8. A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hou...

    Text Solution

    |

  9. A room is 12m long, 4m wide and 3m high, what will be the longest bar ...

    Text Solution

    |

  10. root(3)(8^(2)) is equal to :-

    Text Solution

    |

  11. root(5)(16)xxroot(5)(2) is equal t :-

    Text Solution

    |

  12. If x=sqrt(2)-1 then find the value of ((1)/(x)-x)^(3):-

    Text Solution

    |

  13. If m and n are the two natural number such that m^(n)=25, then find th...

    Text Solution

    |

  14. If y-x=80^(@) then find the values of x and y.

    Text Solution

    |

  15. A cube of 2cm edge is cut off into 8 cubes of 1cm edge. What is teir t...

    Text Solution

    |

  16. How many solid spherical balls of radius 2cm and be made by melting a ...

    Text Solution

    |

  17. A function has the form f(x)=ax+b, where a and b are constants. If f(2...

    Text Solution

    |

  18. Use the approximation (1+x)^(n)~~1+nx,|x|ltlt1, to find approximate va...

    Text Solution

    |

  19. What is the minimum possible possible perimeter for a rectangle whose ...

    Text Solution

    |

  20. In the following graph, relation between two variables x and y is show...

    Text Solution

    |