Suppose instead that you know V , T and the function U(T, V ) (i. e. you have expressed U in terms of variables which are not all the natural variables of U). Show that this leads to a (much more complicated) expression for p, namely

see explaination and attachment

Step-by-step explanation:

A variable can be seen as any factor, trait, or condition that can exist in differing amounts or types. An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

Using the given expression, lets show that this leads to a (much more complicated) expression for p.

Please refer to attachment for step by step solution.