Recent content by Aakash Gupta

  1. Aakash Gupta

    Undergrad Random variable and probability

    Oh sorry that must be pi/4, is there anything wrong apart from that?
  2. Aakash Gupta

    Undergrad Random variable and probability

    (a) Since the probability distribution is uniform in the square K(take it as ABCD here), there P(ξ,η) = 1 for all points inside the square(why? : because ∫∫P(ξ,η)dξdη with 0<ξ<1 & 0<η<1 should be 1 and marginal distribution for ξ and η are uniform) Now we need to find probability of all those...
  3. Aakash Gupta

    Multivariable calculus: find the rate of change

    The gradient of the scalar T(x,y) is given by ∇T = <tx, ty> = <(∂T/∂x), (∂T/∂y)> Here (∂T/∂x) represents the directional derivative of T w.r.t x and (∂T/∂y) represents the directional derivative of T w.r.t y The Directional derivative means rate of change of a quantity in a particular...
  4. Aakash Gupta

    What is Mechanical Engineering at IIT Kanpur?

    Hi, I am Aakash for 3rd year ug from IIT Kanpur in department of Mechanical Engineering