Assume that a cloud consists of tiny water droplets suspended (uniformly distributed,
and at rest) in air, and consider a raindrop falling through them. what
is the acceleration of the raindrop? (assume that when the raindrop hits a water
droplet, the droplet’s water gets added to the raindrop. also, assume that the
raindrop is spherical at all times.)

when it gains or loses electrons

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 .