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Explain why the function z=g(x,y)=fx2+y2is the equation of the surface obtained when the graph of f is rotated about the z-axis. Sketch the surface obtained when your function from Exercise 13 is rotated about the z-axis.

Short Answer

Expert verified

The function z=g(x,y)=fx2+y2is associated with two variable x and y. When the function is rotated about z - axis, a surface is generated in two variables x and y.

Step by step solution

01

Given Information and Calculation

The objective of this problem is to explain why the functionz=g(x,y)=fx2+y2is equation of the surface obtained of fis rotated about the z-axis.

The function z=g(x,y)=fx2+y2is associated with two variablexand y. When the function is rotated about z- axis, a surface is generated in two variables xand y.

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