Q:

In the function z equals f open parentheses x comma y close parentheses equals 6 minus 2 x plus ln left parenthesis x squared y right parenthesis space minus fraction numerator 3 y squared over denominator 4 minus x end fraction , 1. x and y are dependent variabloes, z and 6 are independent variables. 2. x and y are dependent variables, z is an independent variable. 3. x and y are independent variables, z is a dependent variable. 4. x , y and 6 are independent variabloes, z is a dependent variable.

Accepted Solution

A:
Answer:The correct option is 3)  x and y are independent variables, z is a dependent variable.Step-by-step explanation:Consider the provided function.[tex]z=f(x,y)=6-2x+(x^2y)-\frac{3y^2}{4-x}[/tex]Dependent variables depend on the values of independent variables.Here z is the function of x and y are the variables.The value or variable z depends on x and y.Therefore z is dependent variable.Also x and y are independent variables, Hence, the correct option is 3)  x and y are independent variables, z is a dependent variable.