Home
Class 12
MATHS
Consider f(x)={(3x-8,xle5),(2k,x>5):} . ...

Consider `f(x)={(3x-8,xle5),(2k,x>5):}` . Find the value of k if f(x) is continuous at x=5` .

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

Similar Questions

Explore conceptually related problems

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Find the value of k, if is continious at x=2 .

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Find f(2)

Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):} Find a and b if f is continuous at x=2 and a+b=2 .

Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):} Find a relation between a and b if f is continious at x=2 .

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Evalute lim_(xrarr2^+)f(x)

If {(1,xle3) , (ax+b,3 hence find the value of 'a' and 'b' so that f(x) is continuous.

Find the derivative of f(x)=cos(x-5)

Prove that the function f(x)=2x-5 is continuous at x=-2

Consider f(x)={(4x+3,1lexle2),(3x+5,2lexle4):} Evaluate int_1^4f(x)dx

Consider f(x)={((x^2-x-6)/(x+2),x ne-2),(-5,x=-2):} Find f(-2)

V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find (dy/dx), if y=sin ^(-1) x+sin ^(-1) sqrt(1-x^2),-1 le x le 1

    Text Solution

    |

  2. if x sqrt(1+y)+ysqrt(1+x)=0 prove that (dy/dx)=-1/(1+x)^2

    Text Solution

    |

  3. if (x-a)^2+(y-b)^2=c^2, for some c>0 prove that [1+(dy/dx)^2]^(3/2) /(...

    Text Solution

    |

  4. If cos y=x cos (a+y) prove that (dy/dx)=(cos ^2(a+y))/sina

    Text Solution

    |

  5. If x=a(cos t+t sin t) and y=a(sin t-t cos t), find (d^2y)/(dx^2)

    Text Solution

    |

  6. Using mathematical induction prove that d/(d x)(x^n)=n x^(n-1) for all...

    Text Solution

    |

  7. Using the fact that sin (A+B)=sin A cos B+cos A sin B and the techniqu...

    Text Solution

    |

  8. "All continuous function are not differentiable." Justify your answe...

    Text Solution

    |

  9. If y=|[f(x), g(x), h(x)],[ l, m , n],[ a , b , c]| prove that (dy/...

    Text Solution

    |

  10. If y=e^(acos^-1x) , then show that (1-x^2)y2-xy1-a^2y=0

    Text Solution

    |

  11. Let y=(x+sqrt(1+x^2))^m i) Find (dy/dx) ii) Show that (1+x^2) (d^2 y...

    Text Solution

    |

  12. Let y=tan ^(-1)((1-cos x)/(sin x)) i) Express 1-cos x and sinx in ter...

    Text Solution

    |

  13. If x y=a x^2+b/x, prove that x^2 y2+2(x (dy/dx)-y)=0

    Text Solution

    |

  14. Establish that g(x)=1-x+absx is continious at origin.

    Text Solution

    |

  15. a) Find (dy/dx) if i) y=sin (x^3+7) ii) x=a(t-sin t), y=a(1-cos t) ...

    Text Solution

    |

  16. Discuss the continuity of the function f(x)={(sin x/x , if , x<0),( ...

    Text Solution

    |

  17. Find the point of discontinuities of the function. (x+1)/(12 x^2+7 x-1...

    Text Solution

    |

  18. Consider f(x)={(3x-8,xle5),(2k,x>5):} . Find the value of k if f(x) is...

    Text Solution

    |

  19. Find the point of discontinuity, if any of the following functions f...

    Text Solution

    |

  20. Find the value of m, if any, so that the function h(x)={(m(x^2-2 x) , ...

    Text Solution

    |