$($D$)$ A contour map of the function $f(x,y)=y-xy-y^2$ is given below. Sketch and label on the map both $VF(P)=VF(1,2)$ and $VF(Q)=VF(-2,0)$ whent computing the vectors. Compare the two wectors in terms of directions and magnitudes and erslain why. DO NOT use any computations of the vectors to answer this question. $($solution$)$

$($K$)$ Fal out the table given below ysing the contose map given left. WO NOT use any computations of definatives to answer this question.

$($solution$)$

$\backslash$table$[[$derivative$,$sign,brief justification$],[f_s(Q),,],[f_5(Q),,],[f_{}(Q),,],[f_{rg}(),,],[f_{yy}(Q),,]]$

$($L$)$ Use the contour man given above to estimate any local extrema$/$iaddle point$($s$)$ of the function over $[-3,3][-3,3]$ if there are any.

$($solution$)$

$($M$)$ Find any local extrema$/$saddle point$($s$)$ of the function over $[-3,3][-3,3]$ lo there are any. Use the Second Derivative Test to support your work.

$($solution$)$

$($N$)$ Find global extrema of the function over $[-3,3][-3,3]$ if there are any.

$($solution$)$