Frequently, attention in an equilibrium situation is confined to a plane. an example would be a ladder leaning against a wall, which is in danger of slipping only in the plane perpendicular to the ground and wall. by orienting a cartesian coordinate system so that the x and y axes are in this plane, choose which of the following sets of quantities must be zero to maintain static equilibrium in this plane.
a) ∑fx and ∑τz and ∑fy
b) ∑fz and ∑τx and ∑τy
c) ∑τx and ∑fx and ∑τy and ∑fy
d) ∑τx and ∑fx and ∑τy and ∑fy and ∑τz

i would think it's food chain

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 .