Physical therapists know as you soak tired muscles in a hot tub, the water will cool down as you heat up. if a 67.9 person at 37.1 oc immerses in 50.2 kg of water at 40.5o c, the equilibrium temperature is 38.7 oc. what is the specific heat of the person? use 4.186 kj/kgoc for the specific heat of water. answer to 3 significant figures in kj/kgoc .

3.2x10^7

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 .