$3.-$ Find and draw the gradient vector at the point for the function.

$f(x,y)=x^2+y^2-4y$

$(15$ points$)$

Responses:

Gradient vector, gradf$(0,1)$ :

Canonical form equation of the contour line:

$4.-$ For the function $f(x,y)=xln(y^2)$ at the point $(-1,1),$ evaluate gradient in the direction $u=12$hat$()-5$hat$().$

$(10$ points$)$

Responses:

$\backslash$table$[[gradf(-1,1)=,$hat$(u)=,D_{u}f(-1,1)=$