Home
Class 12
MATHS
Find the approximate change in the volum...

Find the approximate change in the volume `V` of a cube of side `x` meters caused by increasing the side by `2%`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 1%.

Find the approximate change in volume of a cube of side x meters caused by an increase in the side by 3%.

Find the approximate change in the surface area of a cube of side x meters caused by decreasing the side by 1%.

What is the volume of a cube of side 1 metre?

Find the approximate value of f(2.01), where f(x)= 4x^2+5x+2

Find the approximate value of f(3.02) where f(x)=3x^2+5x+3 .

Find the approximate value of f(2.01) , where f(x)=4 x^2+5 x+2

Fill in the blanks:The volume of a cube of side 1 cm is equal to__________ m^3 .

Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15 .

V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Use differential to approximate 25^(1/3)

    Text Solution

    |

  2. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

    Text Solution

    |

  3. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the approximate value of f(2.01), where f(x)=4 x^2+5 x+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 change in the volume V of a cube of side x meters...

    Text Solution

    |

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

    Text Solution

    |

  9. If the radious of a sphere is measured as 7m with an error of 0.02m th...

    Text Solution

    |

  10. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

    Text Solution

    |

  11. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

    Text Solution

    |

  12. Find the approximate change in volume of a cube of side x meters cause...

    Text Solution

    |

  13. Find all points of local maxima and local minima of the function f giv...

    Text Solution

    |

  14. Find all the point of local maxima and local minima of the function f ...

    Text Solution

    |

  15. Find local minimum value of the function f given by f(x)=3+|x|, x in R

    Text Solution

    |

  16. Find local maximum and local minimum value of the function f given, by...

    Text Solution

    |

  17. Find all the point of local maxima and local minima of the function f ...

    Text Solution

    |

  18. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  19. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  20. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |