Home
Class 12
MATHS
A cube of side is without the top. If th...

A cube of side is without the top. If the edge length varies from `x _(0)` to `x _(0)+dx,` then the change in the surface of this cubic (without top) is:

A

`5x _(0)dx`

B

`6x_(0)dx`

C

`12 x_(0) dx`

D

`10x_(0)dx`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.8|15 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

Similar Questions

Explore conceptually related problems

The change in the surface area S = 6x^(2) of a cube when the edge length varies from x_(0) to x_(0) + dx is

The current in a discharging LR circuit without the battery drops from 2.0 A to 1.0A in 0.10 s. (a) find the time constant of the circuit. (b) if the inductance of the circuit is 4.0 H, what is its resistance?

If the volume of a cube of side length x is v=x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

If the volume of a cube of side length x is V = x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

If the volume of a cube of side length x is V=x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

A charge q is plaed at the centre of a cubical box of side with top open. The flux of electric field through the surface of the cubical box is

A hemisphere is cut from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the side of the cube. Determine the total surface area of the remaining solid.

A smooth wedge A is fitted in a chamber hanging from a fixed ceiling near the earth's surface.A block B placed at the top of the wedge takes a time T to side down the length of the wedge. If the block is placed at the top of the wedge and the cable supporting the chamber is broken at the same instant, the block will

PREMIERS PUBLISHERS-DIFFERENTIALS AND PARTIAL DERIVATIVES-PROBLEMS FOR PRACTICE
  1. If u = (1)/(root 3 (x^(3) + y ^(2))) then x (del u)/(del x) + (del u )...

    Text Solution

    |

  2. If f (x,y) =e ^(xy) then (del^(2)f)/(delx dely) at (1,1) is:

    Text Solution

    |

  3. A cube of side is without the top. If the edge length varies from x (0...

    Text Solution

    |

  4. If u=f(y/x), then x(del u)/(del x) + y(del u)/(del y)=

    Text Solution

    |

  5. If x = r cos theta, u = r sin theta then (del theta)/(del x) is:

    Text Solution

    |

  6. If f (x,y) =x ^(2) + xy+y ^(2),x =t ,y=t ^(2) then (df )/(dt)=

    Text Solution

    |

  7. If f (x) =(1)/(x +1) then its differentiate is given by :

    Text Solution

    |

  8. If u (x,y) =x ^(2) + 2xy-y ^(2) then (del u)/(del x) + (delu)/(del y) ...

    Text Solution

    |

  9. Linear approximation of f (x) = 2x^(2) + 3x at x =1 is:

    Text Solution

    |

  10. The approximate value of sqrt (9.2) is:

    Text Solution

    |

  11. If the absolute error while calculating the absolute error in volume o...

    Text Solution

    |

  12. lim ((x,y) to(1,0))(x ^(2) + y ^(2))/(x - 2y ) is :

    Text Solution

    |

  13. f (x,y)=sin ^(-1) ((x)/(y)) + tan ^(-1) ((y)/(x)) is homogeneous funct...

    Text Solution

    |

  14. A function f (x,y) is said to be harmonic if (del^(2)f)/(del x ^(2)) +...

    Text Solution

    |

  15. If f (x,y) =e ^(2x+3y) find 3f(x) (0,0) - 2f(y) (0,0):

    Text Solution

    |

  16. Find dy if y = (x-2)/( 2x +3) for x =2, dx =1.

    Text Solution

    |

  17. If u =x ^(2) + y ^(2) evaluate (del^(2)f)/(del x ^(2)) + (del ^(2) f)/...

    Text Solution

    |

  18. If u (x,y) = (x ^(2))/( y)- (2y ^(2))/(x) then (del^(2) u)/(del x dely...

    Text Solution

    |

  19. If f (x,y) is homogeneous function of degree 5 then x (del f)/(delx) +...

    Text Solution

    |

  20. Computer the values of dy if f (y) =x ^(3) +x ^(2) -2x +1 where x chan...

    Text Solution

    |