On what principle does calorimetry depend?

The answer is the law of conservation of energy.

Explanation:

Law of conservation of energy: It states that the energy is neither created nor destroyed. It can be transferred from one form to another.

According to the law of calorimetry, the total heat gain by the cold body is equal to the total heat loss by the hot body. There is no loss of heat in the surrounding. Heat is a form of energy. It is transferred only from one object to another.

Therefore, calorimetry depends on the law of conservation of energy.

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 .