Aweather balloon is filled to a volume of 6000 l while it is on the ground, at a pressure of 1 atm and a temperature of 273 k. the balloon is then released into the atmosphere. as the balloon rises, the pressure decreases to 0.3 atm and the temperature decreases to 240 k. what is the final volume of the balloon at this temperature and pressure? round your answer to the nearest tenth.

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 .