Home
Class 12
MATHS
The function f(x)=(x^3)/8-sinpix+4 in [-...

The function `f(x)=(x^3)/8-sinpix+4` in `[-4,4]` does not take the value a. `-4` b. `10` c. `18` d. `12`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

The function f(x)= 2x^(3) - 3x^(2) - 12x +4 has-

the function f(x)=(x^2+4x+30)/(x^2-8x+18) is not one-to-one.

The function f(x)=sin^4x+cos^4x increasing if :

Prove that f(x)=(x^3)/4-sinpix+3 takes the value of 7/3 for x in [-2,2]dot

If the domain of the function f(x) = sqrt(3 cos^(-1) (4x) - pi) is [a, b] , then the value of (4a + 64b) is ___

Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Then the value of f(21) is a). 16 b). 21 c). 64 d). 105

A function f is define by f(x)=3x^3+4 . Write the values of f(-1)

The value of k(k >0) such that the length of the longest interval in which the function f(x)=sin^(-1)|sink x|+cos^(-1)(cosk x) is constant is pi/4 is/ are (a)8 (b) 4 (c) 12 (d) 16

For what value of f (4) the function f(x)=(x^(2)-16)/(x-4) is continuous at x = 4 ?

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If R=([1+((dy)/(dx))^2]^(3//2))/((d^2y)/(dx2)) , thenR^(2//3) can be p...

    Text Solution

    |

  2. If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a)3/2 (b) 3/(4t) (c) 3/(2t) (...

    Text Solution

    |

  3. The function f(x)=(x^3)/8-sinpix+4 in [-4,4] does not take the value a...

    Text Solution

    |

  4. If f(x)={(|x|-3 when x < 1), and (|x-2|+a , when x >= 1) & g(x)={2...

    Text Solution

    |

  5. The number of points of discontinuity of f(x)=[2x]^(2)-{2x}^(2) (where...

    Text Solution

    |

  6. The number of points of discontinuity of g(x)=f(f(x)) where f(x) is ...

    Text Solution

    |

  7. Consider two function y=f(x) and y=g(x) defined as f(x)={{:(ax^(2)+b...

    Text Solution

    |

  8. If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is cont...

    Text Solution

    |

  9. Let f(x)=(lim)(n rarr oo)sum(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (...

    Text Solution

    |

  10. Let f(x)={lim(n->oo)(a x(x-1)(cot((pix)/4))^n+(p x^2+2))/((cot((pix)/...

    Text Solution

    |

  11. If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...

    Text Solution

    |

  12. The number of points at which g(x)=1/(1+2/(f(x))) is not differentiabl...

    Text Solution

    |

  13. If f(x)=x^(1//3)(x-2)^(2//3) for all x , then the domain of f' is a. x...

    Text Solution

    |

  14. Consider two functions y=f(x) and y=g(x) defined as f(x)={[a x^2 +b...

    Text Solution

    |

  15. Let f be a function with continuous second derivative and f(0)=f^(prim...

    Text Solution

    |

  16. Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x)...

    Text Solution

    |

  17. Let f: R->R be any function. Also g: R->R is defined by g(x)=|f(x)| fo...

    Text Solution

    |

  18. Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...

    Text Solution

    |

  19. For which of the following functions f(0) exists such that f(x) is con...

    Text Solution

    |

  20. Let f(x)=x^(3)-x^(2)-3x-1, g(x)=(x+1)a and h(x)=(f(x))/(g(x)) where h...

    Text Solution

    |