Home
Class 12
MATHS
Using differentials, find the approxi...

Using differentials, find the approximate value of `(1. 999)^5`

Text Solution

Verified by Experts

Let `y =x^5`
and `x=2`
`x+trianglex=1.999`
`impliestrianglex=-0.001`
For `x=2,`
`y=(2)^5=32`
Let `dx=trianglex=-0.001`
As`y=x^5`,
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA|Exercise Solved Examples And Exercises|634 Videos
  • DIFFERENTIATION

    RD SHARMA|Exercise Solved Examples And Exercises|808 Videos

Similar Questions

Explore conceptually related problems

Find the approximate value of (1.999)^(6)

Using differentials, find the approximate value of sqrt(401)

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

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

Using differentials, find the approximate value of 25^(1//3)

Using differentials, find the approximate value of sqrt(49. 5)

Using differentials, find the approximate value of sqrt(25. 02)

Using differentials, find the approximate value of sqrt(0. 48)

Using differentials, find the approximate value of sqrt(36. 6)

Using differentials, find the approximate value of sqrt(0. 082)

RD SHARMA-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Solved Examples And Exercises
  1. Using differentials, find the approximate value of sqrt(49. 5)

    Text Solution

    |

  2. Using differentials, find the approximate value of (3. 968)^(3//2)

    Text Solution

    |

  3. Using differentials, find the approximate value of (1. 999)^5

    Text Solution

    |

  4. Using differentials, find the approximate value of sqrt(0. 082)

    Text Solution

    |

  5. Find the approximate value of f(2. 01) , where f(x)=4x^2+5x+2 .

    Text Solution

    |

  6. Find the approximate value of f(5. 001) , where f(x)=x^3-7x^2+15 .

    Text Solution

    |

  7. Find the approximate value of (log)(10)1005 , given that (log)(10)e...

    Text Solution

    |

  8. If the radius of a sphere is measured as 9 cm with an error or 0.03...

    Text Solution

    |

  9. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

  10. If the radius of a sphere is measured as 7 m with an error or 0.02 ...

    Text Solution

    |

  11. Find the approximate change in the volume of a cube of side x metre...

    Text Solution

    |

  12. If the relative error in measuring the radius of a circular plane i...

    Text Solution

    |

  13. If the percentage error in the radius of a sphere is alpha , find t...

    Text Solution

    |

  14. A piece of ice is in the form of a cube melts so that the percentag...

    Text Solution

    |

  15. If there is an error of 2% in measuring the length of simple pendulum,...

    Text Solution

    |

  16. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

  17. If an error of k% is made in measuring the radius of a sphere, then...

    Text Solution

    |

  18. The height of a cylinder is equal to the radius. If an error of alp...

    Text Solution

    |

  19. While measuring the side of an equilateral triangle an error of k %...

    Text Solution

    |

  20. If (log)e4=1. 3868 , then (log)e 4.01= (a) 1.3968 (b) 1.3898 (c) 1.38...

    Text Solution

    |