I have a question asking me to describe the level curves for the following functions f(x,y) = x^2 + 2y^2 - 3x= 0 and f(x,y) = -6 How do I go about doing this, for the second case, would the level curve be just a line or an empty set?
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Originally Posted by Penguin91 I have a question asking me to describe the level curves for the following functions f(x,y) = x^2 + 2y^2 - 3x= 0 and f(x,y) = -6 How do I go about doing this, for the second case, would the level curve be just a line or an empty set? The level curves are the sets where the functions values are constant. So for the first one set Now complete the square on the x terms to get This is a familiy of ellipses. For the 2nd one think of the definition. Where is the function constant
Thanks for your reply, that made more sense!
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