A 62 kg boy swings a baseball bat, which causes a 0.10 kg baseball to move toward third base with a velocity of 42.0 m/s. Calculate the kinetic energy of the baseball.

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 .

conservation of mass

mass before something happens = mass afterwards

both the fifth and fourteenth amendments of the united states contain a due process clause. while the fifth amendment describes a legal obligation of the federal government to not deprived of life, liberty or property without due process of law, the fourteenth amendment applies the same obligation to the states to guarantee that all of the states provide fair procedures as well.