Question

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.

Answer 1

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.

$z=f(x,y)=6-2x+(x^2y)-\frac{3y^2}{4-x}$

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.