Home
Class 12
MATHS
If f (x) is continous on [0,8] defined ...

If f (x) is continous on `[0,8]` defined as
`f(x)=x^(2)+ax, "for" 0lex lt 2`
`=3x+2, "for" 2 lex le4`
`=2ax+5b, "for" 4 lt x le 8,`
find a and b.

Text Solution

Verified by Experts

The correct Answer is:
`a=-1.b=22/5`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • BINOMIAL DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0 le x lt 2),(3x+2", for " 2 le x le 4),(2ax+5b", for " 4 lt x le 8):} , then

If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 le x lt -2 =4x+1," for" -2le x le2, find the value of a+b.

If (f) is continuous on its domian [-2, 2], where f(x)=(sin x)/(x)+a, "for" -2lexlt0 =3x+5, "for" 0lexle1 =sqrt(x^(2)+8)-b, "for" 1 lt x le2, find the values of a and b.

If f(x) is continuous in [0, 3], where f(x)={:{(3x-4", for " 0 le x le 2),(2x+k", for " 2 lt x le 3):} , then k=

A functon f(x) is defined as f(x)=x+a, "for" x lt0 =x, "for" 0lex lt1, =b-x, "for" x ge 1 is continous on its domain. Find a+b.

Function f(x) is continuous on its domain [-2,2],where f(x) = (sinax)/x +2, for -2 le x lt0 =3x+5 , for 0 le x le 1 = sqrt(x^2+8)-b, for 1 lt x le 2 Find the value of a+b+2

Discuss the continous of the following function on its domain, where f(x)=x^(2)-4, "for" 0lex le2 =2x+3, "for" 2 ltx le4 =x^(2)-05, "for" 4 lt x le6.

If f(x)={:{(x^(2)-4", for " 0 le x le 2),(2x+3", for " 2 lt x le 4),(x^(2)-5", for " 4 lt x le 6):} , then

If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):} , then a+b=

If f(x) is continuous in [-2, 2], where f(x)={:{ ((sin ax)/(x)-1", for "-2 le x lt 0),(2x+1", for " 0 le x le 1),(2bsqrt(x^(2)+3)-1", for " 1 lt x le 2):} , then a+b=

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CONTINUITY -EXAMPLES FOR PRACTICE
  1. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  2. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  3. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  4. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  5. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  6. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  7. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  8. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  9. If f (x) is continuous at x=pi, where f(x) =(sqrt(2+cos x)-1)/((pi-2)^...

    Text Solution

    |

  10. If the function f(x)=((4^(sinx)-1)^(2))/(x log (1+2x)), "for" x ne0, i...

    Text Solution

    |

  11. If f(x) is continous at x=0, where f(x) ((e^(3x)-1)sin x)/(xlog(1+x)),...

    Text Solution

    |

  12. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  13. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  14. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  15. If f (x) is continous on [0,8] defined as f(x)=x^(2)+ax, "for" 0lex...

    Text Solution

    |

  16. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

    Text Solution

    |

  17. If (f) is continuous on its domian [-2, 2], where f(x)=(sin x)/(x)+a,...

    Text Solution

    |

  18. Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x...

    Text Solution

    |

  19. Find the values of a and b so that the function f(x)={{:(x+asqrt2...

    Text Solution

    |

  20. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

    Text Solution

    |