You slide a coffee mug across the table. the mug slides to the east and slows down while sliding. which of the following statements best describes the net force acting on it? o the net force is zero. o the net force is directed east. o the net force is directed west. o there is not enough information to determine the direction of the net force.

Explanation:

The mug is sliding towards the east but its velocity is going down . That means it has negative acceleration towards east   . In other words , it has positive acceleration towards west. Since it has positive acceleration towards

west , it must have positive force acting on it towards west.

d eras and periods

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 .