Achild lifts a box from the floor. the child then carries the box with constant speed to the other side of the room and puts the box down. how much work does he do on the box while walking across the floor at a constant speed?

Zero

Explanation:

Given child moves the box with constant velocity over his head .

Force acting on box due to gravity is equal to his weight

Displacement of the box is Perpendicular to the direction of Applied force

Work done is given by

here is the angle between Force and displacement which is

so work done is zero

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 .