A large wooden turntable of radius 2 m and total mass 120 kg is set to rotation from rest about a vertical axis through its center, with angular velocity 3.0 rad-s-1 at 4s. A bag of sand of mass 100 kg is dropped vertically onto it, at a point near the outer edge. (a) Calculate the torque applied for the rotation. (b) Find the angular velocity of the turntable after the sandbag is dropped.

c because the news are a source of information of things that happen on the daily and shows evidence about that particular topic

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .