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 $$ \sqrt{x^2 + y^2} = k, \quad k \ge 0 $$ Square both sides: $$ x^2 + y^2 = k^2 $$ Level Curves: Circles centered at the ___ _____ _______ ______ _____ _______.
_______ _____ _______ _______ _____ ______ _________ __________ ___ ____ _________ __________.
_____ _______ ________ ____ ____ __________.
___ _____ ________ _______ ___ _________ _______.
_____ ___ ___ ___ _________ _________ _____ ____ _________ ____.
_____ ____ ___ _______ ____ ___.
_______ ______ _______ __________ __________ ______ _____ __________.
_________ __________ _______ _____ ___ _______ __________ ______ _______.
______ ___ ________ ________ _____ _______ _____ ______ ____ _________.
___ _____ __________ ___ ___ _____ ____.
_______ _______ ____ _________ _______ _____.
________ ______ ____ _________ _______ ___ ______ _____.
____ _________ _______ ________ ________ _________ ___.
____ ___ ____ _______ _____ _____ _____ ____.
______ _____ _____ _________ _________ _______ ______ ______.
_______ _________ _____ _____ _________ ___ ___ ______ ____ ________ __________.
______ _______ _____ ________ _________ ____ _________.
____ __________ __________ ______ ________.
________ ____ __________ ________ _____ _________ ____.
_______ ___ __________ ____ ____ ______ __________.
________ ______ ________ _____ ___ ____.
____ _______ _______ _________ ______ ___ _______ _____ ________ ____ _______.
_____ ____ _______ __________ ____ _______ ________.
_________ _______ _________ ______ ____ ____ ________ ________.
________ ___ __________ ________ _______ _____ _____ ____ ____ ________ _________.
______ ________ ____ ___.
Get Full Answer on WhatsApp