Suppose you have 1 kg each of iron, glass, and water, and all three samples are at 10°C. Rank the samples from lowest to highest temperature after 100 J of energy is added to each by

The rank of  temperature from lowest to highest is  

       Lowest --- Middle --- Highest

       Water   ---   Glass    ---   Iron

Explanation:

From the question we are told that

      The mass of iron,  glass, and water is  

      The temperature of   iron,  glass, and water is

       The energy added is  

The specific heat of iron is a constant with a value  

The specific heat of glass is a constant with a value  

The specific heat of  water  is a constant with a value  

Now energy transferred to these substances can be mathematically represented as

Now from the question the mass of the substance and the energy added are constant

    So

Thi means that the change in temperature is inversely proportional to the specific heat of the substance

      With this knowledge we can deduce that

  The substance with the highest temperature is  Iron

 followed by  glass

  and  then    water

their crystal patterns have been disrupted by stress

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 .