How do you sketch level curves of multivariable functions?
Let f(x,y)=(x2+y2−1)(2x+y−1).
Then how can I sketch the level curves of f(x,y)?
Thank you for your help in advance.
How do you sketch level curves of multivariable functions?
According to the definition of level curves, if we are given a function of two variables z=f(x,y),the cross-section between the surface and a horizontal plane is called a level curve or a contour curve. Thus, level curves have algebraic equations of the form:
f(x,y)=k
for all possible values of k. Now let’s do this goal by using a mathematical software like Mathematica or Maple. I did it by Maple 16 for you:
