In a mercury barometer at atmospheric pressure, the height of the mercury column in a glass tube is 760 mm. If another mercury barometer is used that has a tube of larger diameter, how high will the column of mercury be

the largest known star in the universe is uy scuti, a hypergiant with a radius around 1,700 times larger than the

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.

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 .