Question
Identify the level curves of the following functions:
(i)
(ii)
(iii) x-y
(iv) y/x
Answer :
Word Count : 269
We are to identify the level curves of the given functions. Level curves are obtained by setting $$ f(x,y) = k $$ where $k$ is a constant. Let’s solve each manually. --- ### (i) $f(x,y) = \sqrt{x^2 + y^2}$ Let $$ \sqrt{x^2 + y^2} _________ _________ ____ ______ _______.
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_______.
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We are to identify the level curves of the given functions. Level curves are obtained by setting $$ f(x,y) = k $$ where $k$ is a constant. Let’s solve each manually. --- ### (i) $f(x,y) = \sqrt{x^2 + y^2}$ Let $$ \sqrt{x^2 + y^2} _________ _________ ____ ______ _______.
__________ __________ ______ _______ ___ __________.
______ ___ ____ ___ ________ ____ ______ __________ ________.
_______ __________ _________ _________ _______ _______ __________ __________ _________ ________ ______.
________ ____ ____ _____ ________ ______ ______.
______ ____ _________ ____ __________ _______ _______ ______.
___ _____ _________ ____ ________ __________.
_____ ___ ______ __________ _________ ______ _____ ____ _____.
____ _____ _______ ____ _______ ________ _____.
_________ _________ ____ _______ _________ _____ __________ _________ __________ ______ ______.
________ ______ ___ ____ ___ ____ ______ ______ _________ _______ ___.
___ ____ __________ _______ ________ _________ ____ _________.
____ ____ __________ ________ _______ ______ ______ _____ _______ ___ ___ ____.
_____ ______ _____ ____ ___ _____ ____ ______ ___ _____.
___ ____ _______ _________ ______ ___ _____ _________ _____ __________.
_________ ______ _______ ________ ___.
____ ______ _____ ___ _______ _______ _________ ___ __________ ________ _____.
____ ______ __________ _____ _______ ___ _______.
______ ________ __________ ______ _____ ____ ________ ______ __________ ________.
_______ _______ ___ ____ ____ _____ _____ ______ _______.
_________ ________ ______ _______ ______ _____ __________ ________.
____ __________ ________ __________ ____ _______ _______ __________ __________ ________.
_____ _____ __________ ________ _____ ___.
__________ _______ _____ ___ __________.
__________ ______ ___ _______ _______ _______.
__________ ________ ____ ____ _______ __________ _________ _________ __________ ______.
_______ __________ _______ _____ ____ ___ _____.
_______.
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