Answer
Please see the figure attached.
Work Step by Step
The contour map of $f\left( {x,y} \right) = {x^2}$ with level curves $c = 1,3,5,...,11$ is obtained by plotting the vertical lines:
$c = {x^2}$ for $c = 1,3,5,...,11$
The contour interval: $m=2$.
