Z as a function of x and y is a mathematical expression that represents a relationship between the variables x and y, where the output value z is dependent on the input values of x and y.
To define z as a function of x and y, you need to express the relationship between the variables using mathematical notation, typically in the form of an equation or formula. This equation will determine the value of z based on the values of x and y.
The purpose of defining z as a function of x and y is to understand the relationship between the two variables and be able to calculate the value of z for any given values of x and y. This can be useful in solving problems and making predictions in various fields such as physics, chemistry, and economics.
Yes, z can be defined as a function of x and y in multiple ways. The specific form of the function will depend on the nature of the relationship between x and y, and the purpose for which z is being defined. For example, z may be defined as a linear function, a polynomial function, or an exponential function.
In the function z(x,y), x and y are the independent variables, while z is the dependent variable. This means that the values of x and y can be chosen arbitrarily, but the value of z will be determined by the chosen values of x and y through the given function.