A ball was positioned in the middle of a smooth ramp and allowed to roll downward. How does the total mechanical energy of the system change as
the ball rolls down the ramp? Assume that there is no friction.

low freq = 100 mhz

low wavelength =101.7m

length = 3x10^8/freq

true tan speed = ang vel x radius

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 .