Math $254$ Written Homework $5-$ Winter $2025$ Due Sunday, February $9,2025$

Page $4$ of $7$

$(4)$ For the following functions, find the vertical trace of each function corresponding to the indicated value of $x$ or $y.$ Then sketch the traces in $2-$space, labeling two points.

$($a$)f(x,y)=3x{y}^3,x=-1.$

$($b$)f(x,y)=-\sqrt[\phantom{2}]{y^2-x^2},y=3$