Home
Class 12
MATHS
If varphi(x)=1/(1+e^(-x)) and S=varphi(5...

If `varphi(x)=1/(1+e^(-x))` and `S=varphi(5)+varphi(4)+varphi(3)+...+varphi(-3)+varphi(-4)+varphi(-5)`, then the value of `S` is. a. 5 b. `11/2` c. 6 d. `13/2`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Find the value of a if [a-b2a+c2a-b3c+d]=[-1 5 0 13]

If f(x)= log_3x and phi(x)=x^2 ,then the value of f{varphi(3)} will be

If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6,p!=1 , then the value of p/x is a. 1/3 b. 3 c. 1/2 d. 2

If varphi(x) is a polynomial function and varphi^(prime)(x)>varphi(x)AAxgeq1a n dvarphi(1)=0, then varphi(x)geq0AAxgeq1 varphi(x)

If the function f(x) increases in the interval (a , b),a n dvarphi(x) [f(x)]^2 , then varphi(x) increases in (a , b) varphi(x) decreases in (a , b) we cannot say that varphi(x) increases or decreases in (a , b)dot none of these

If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2x-y+sqrt(lambda)z+4=0 is such that sin theta=1//3, the value of lambda is a. -3/5 b. 5/3 c. -4/3 d. 3/4

Two lines L_1: x=5, y/(3-alpha)=z/(-2) and L_2: x=alpha, y/(-1)=z/(2-alpha) are coplanar. Then alpha can take value (s) a. 1 b. 5 c. 3 d. 4

if tan (theta/2)=sqrt((1-e)/(1+e)) tan (varphi/2) ,then prove that cos varphi=(costheta-e)/(I-ecostheta)

If x=varphi(t), y=psi(t),t h e n(d^2 y)/(dx^2) is (a) (varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^2) (b) (varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^3) (c) varphi^('')/psi^('') (d) psi^('')/varphi^('')

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If the function f:(1,oo)rarr(1,oo) is defined by f(x)=2^(x(x-1)),t h e...

    Text Solution

    |

  2. For non-negative integers ma n dn a function is defined as follows: f...

    Text Solution

    |

  3. If varphi(x)=1/(1+e^(-x)) and S=varphi(5)+varphi(4)+varphi(3)+...+varp...

    Text Solution

    |

  4. If f and g are two functions defined on N , such that f(n)= {{:(2n-...

    Text Solution

    |

  5. If g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7) then the value of g(g(100)...

    Text Solution

    |

  6. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |

  7. If f: R->R is a function satisfying f(x+y)=f(x y) for all x ,y in R a...

    Text Solution

    |

  8. Suppose that f(x)f(f(x))=1 and f(1000)=999 then which of the following...

    Text Solution

    |

  9. Suppose that f(x) isa quadratic expresson positive for all real xdot I...

    Text Solution

    |

  10. The graph of a function fx) which is defined in [-1, 4] is shown in th...

    Text Solution

    |

  11. If sets A= (-3,2] and B= (-1, 5] then find the following sets : AnnB

    Text Solution

    |

  12. Find the value of x^2 for the given values of xdot (i)x<2 (ii) x > -...

    Text Solution

    |

  13. Find all possible values of the following expressions : sqrt(x^(2)-...

    Text Solution

    |

  14. Find the value of 1//x for the given values of xdot x >3 (ii) x<-2 (i...

    Text Solution

    |

  15. Find all the possible values of the following expressions: 1/(x^2+2) (...

    Text Solution

    |

  16. Find the values of x for which expression sqrt(1-sqrt(1-sqrt(1-x^(2))...

    Text Solution

    |

  17. Solve x^(2)-x-6 gt 0.

    Text Solution

    |

  18. Solve x^2-x-1 lt 0

    Text Solution

    |

  19. Solve (x-1 )(x-2)(1-2x) gt 0

    Text Solution

    |

  20. Solve (2)/(x) lt 3.

    Text Solution

    |