Home
Class 12
MATHS
If the function f(x)=[((x-2)^3)/a]sin(x-...

If the function `f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot]` denotes the greatest integer function, is continuous in `[4,6],` then find the values of `adot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos

  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=[((x-2)^(3))/(a)]sin(x-2)+a cos(x-2),[. denotes the greatest integer function,is continuous in [4,6], then find the values of a .

The range of function f(x)=[[x]-x]+sin^(2)x , where [.] denotes the greatest integer function, is.

If the function of f(x) = [((x-5)^(2))/(A)]sin(x-5)+a cos(x - 2),"where"[*] denotes the greatest integer function, is continuous and differentiable in (7, 9), then find the value of A

If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at

If [dot] denotes the greatest integer function, then find the value of int_1^2[3x]dx

For a function f(x)=(2(x^(2)+1))/([x]) (where [.] denotes the greatest integer function), if 1lexlt4 . Then

f(x)=sin^(-1)((2-3[x])/4) , which [*] denotes the greatest integer function.

The period of the function f(x)=sin(x+3-[x+3]) where [] denotes the greatest integer function

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  2. Draw the graph and find the points of discontinuity f(x) = [2cos x] , ...

    Text Solution

    |

  3. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

    Text Solution

    |

  4. Discuss the continuity of f(x)=sgn(x^3-x)

    Text Solution

    |

  5. Discuss the continuity of f(x)=sgn(2cosx-1)

    Text Solution

    |

  6. Discuss the continuity of f(x)=sgn(x^2-2x+3)

    Text Solution

    |

  7. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

    Text Solution

    |

  8. Discuss the continuity of f(x)=(lim)(nvecoo)(x^(2n)-1)/(x^(2n)+1)

    Text Solution

    |

  9. Discuss the continuity of f(x)=("lim")(nvecoo)cos^(2n)xdot

    Text Solution

    |

  10. Discuss the continuity of the following function f(x)={1,\ if\ x\ i ...

    Text Solution

    |

  11. Find the value of x where f(x)={x ,\ if\ x\ r a t ion a l1-x ,\ if\ x\...

    Text Solution

    |

  12. If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity ...

    Text Solution

    |

  13. Find the value of x in [1,3] where the function [x^2+1]([dot] represen...

    Text Solution

    |

  14. Discuss the continuity of f(x)=[tan^(-1)x]([dot] represents the greate...

    Text Solution

    |

  15. Discuss the continuity of f(x)={cot^(-1)x]({dot} represents the fracti...

    Text Solution

    |

  16. Discuss the continuity of f(x) in [0, 2], where f(x)=(lim)(n->oo)(s...

    Text Solution

    |

  17. Discuss the continuity of f(x)={x^2,xi sr a t ion a l-x^2,xi si r r a...

    Text Solution

    |

  18. If y=1/(t^2+t-2),w h e r et=1/(x-1), then find the number of points wh...

    Text Solution

    |

  19. Proved that: f(x)=[x\ if\ x in Q0\ if\ x !in Q\ is continuous only ...

    Text Solution

    |

  20. Proved that: f(x)=[x\ if\ x in Q-x\ if\ x !in Q\ is continuous only...

    Text Solution

    |