Home
Class 12
MATHS
It is given that the Rolles' theorem hol...

It is given that the Rolles' theorem holds for the function `f(x)=x^3+b x^2+c x ,x in [1,2]` at the point `x=4/3dot` Find the values of `b` and `c`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

It is given that the Rolles theorem holds for the function f(x)=x^3+b x^2+c x ,\ \ x in [1,2] at the point x=4/3 . Find the values of b and c .

Rolle's theorem is applicable for the function f(x) = |x-1| in [0,2] .

Verify Rolle's theorem for the function f(x)=x^2+2x-8, x in [-4,2] .

Verify Rolles theorem for function f(x)=x^2-4x+3 on [1,\ 3]

Verify Rolles theorem for the function f(x)=x(x-3)^2,\ 0lt=xlt=3 .

Verify Rolle's theorem for the function f(x)=\ x^2-5x+6 on [2, 3].

Verify Rolle's theorem for the function f(x) = x^(2) +x-6 in the interval [-3,2]

Verify Rolls theorem for the function f(x)=x^3-6x^2+11 x-6 on the interval [1,3] .

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

verify Rolle's theorem for the function f(x)=x(x+3)e^(-x/2) in [-3,0]

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  2. The area of the region defined by x^2+y^2lt=pi^2 and ygeqsinxdot is ...

    Text Solution

    |

  3. It is given that the Rolles' theorem holds for the function f(x)=x^3...

    Text Solution

    |

  4. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

    Text Solution

    |

  5. If vec a=2x^2 hat i+4x hat j+ hat ka n d vec b=7 hat i-2 hat j+x hat ...

    Text Solution

    |

  6. if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR then ([.] denotes G.I.F) nu...

    Text Solution

    |

  7. Let f(x)=e^(x),g(x)={:{(x^(2),if,xlt(1)/(2)),(x-(1)/(4),if,xge(1)/(2))...

    Text Solution

    |

  8. Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....

    Text Solution

    |

  9. Given the function f(x) = 1/( 1-x) , The points of discontinuity of th...

    Text Solution

    |

  10. Function g(x)=2f((x^(2))/(2))+f(6-x^(2)) for all xepsilonR is decreasi...

    Text Solution

    |

  11. Odds 8 to 5 against a person who is 40 years old living till he is ...

    Text Solution

    |

  12. Solve the following for x : tan^(-1)2x+tan^(-1)3x=npi+(3pi)/4

    Text Solution

    |

  13. The value of (lim)(nvecoo)((sin{2/n})/([2nt a n1/n](t a n1/n))+1/(n^2...

    Text Solution

    |

  14. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local ...

    Text Solution

    |

  15. Radius of the circle x^2+y^2+2x costheta+2y sin theta-8=0 is 1 2. 3...

    Text Solution

    |

  16. Number of solutions of the equation t a n x+s e c x=2cos x lying in th...

    Text Solution

    |

  17. Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), where f(x) is an increasing di...

    Text Solution

    |

  18. The mean of 11 items overline(X). If first item is increased by 1, sec...

    Text Solution

    |

  19. Let mean of 100 data points be 55 and variance be 16. Now if every ...

    Text Solution

    |

  20. underset(xto0)(lim)(ln(2+x^(2))-ln(2-x^(2)))/(x^(2)) is equal to

    Text Solution

    |