Home
Class 12
MATHS
Find the values of a and b such that the...

Find the values of a and b such that the function
`f(x)={(5a,x le 0) , (asinx+cosx,0 lt xlt pi/ 2 "is continuous") , (b-pi/2,x ge pi/2):}`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

Find the value of a and b such that the function f(x)={(5a,xle0) ,(asinx+cosx,0

Find the value of k such that the function f(x) defined by f(x)={(kx-1,ifxlepi/2),(sinx,ifx>pi/2):} is continuous function at x=pi/2 .

Determine the value of k so that the function f(x)={(k(x^2+x+1),x<0),(cosx,xge0):} is continuous.

Find value of f at x=0 so that functions f (x) = (2^(x) -2^(-x))/(x) , x ne 0 is continuous at x = 0 ,

Find local maximum and local minimum if any for the function. h(x)=sinx+cosx. 0 lt x lt (pi/2)

Let f(x)= {(cosx,0lexlec),(sinx,c Find the value of c if f is continuous on [0,pi] .

The minimum value of the function f(x)=(1)/(sinx+cosx) in the interval [0,(pi)/(2)] is

Find the absolute maximum and minimum values of the function f given by f(x)=cos ^2 x+sin x , x in [0, pi]

Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is strictly increasing or strictly decreasing.

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. If A=[[a,1],[1,0]] is such that A^2=I then a equals

    Text Solution

    |

  2. Solve the system of equations x-y+z=4,2x+y-3z=0,x+y+z=2 Using matr...

    Text Solution

    |

  3. Find the values of a and b such that the function f(x)={(5a,x le 0) ...

    Text Solution

    |

  4. Find dy/dx if (sinx)^(cosy) = (cosy)^(sinx)

    Text Solution

    |

  5. The slope of the normal to the curve, y^2=4x at (1,2) is

    Text Solution

    |

  6. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

    Text Solution

    |

  7. The rate of change of volume of a sphere with respect to its radius wh...

    Text Solution

    |

  8. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  9. Find the following: int 1/(x(x^7+1))dx

    Text Solution

    |

  10. Find the following: int1^4abs[x-2]dx

    Text Solution

    |

  11. Find int0^(pi/2) logsinxdx

    Text Solution

    |

  12. Evaluateint0^4x^2dx as the limit of a sum.

    Text Solution

    |

  13. Area bounded by the curves y=cosx ,x=pi/2, x=0, y=0 is

    Text Solution

    |

  14. Find the area of the region bounded by the y^2=4ax and x^2=4ay, a>0

    Text Solution

    |

  15. The order of the differential equation x^2 (d^2y)/(dx^2)=1+(dy/dx)^3 i...

    Text Solution

    |

  16. Find the particular solution of the differential equation (1+x^2)(...

    Text Solution

    |

  17. The projection of the vector 2i+3j+2k on the vector i+j+k is a)frac(3...

    Text Solution

    |

  18. Find the area of a parallelogram whose adjacent sides are the vector 2...

    Text Solution

    |

  19. The angle between the vectors i+j and j+k is

    Text Solution

    |

  20. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, fin...

    Text Solution

    |