Question

What is the level curve of the function f(x,y) = (x² * y²)^(1/2)?

Answer 1

The level curve of the function f(x,y) = (x² * y²)^(1/2) is a parabolic curve with the equation y² = x².

Step-by-step explanation:

The level curve of the function f(x,y) = (x² * y²)^(1/2) can be described as a parabolic curve. To understand this, we can rewrite the function as y = (x² * y²)^(1/2). Squaring both sides gives us y² = x² * y², which simplifies to y² = x². This equation represents a parabola with its vertex at the origin and a concave shape.