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Activity 11.9.2.

For each of the functions below, do the following

Find all critical points for the function.

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Use Figure 11.9.7 to plot the surface near each of your critical points. You will need to put in the coordinates of your critical point as $(a,b)$ and the function you are using for $f(x,y)\text{.}$

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Use your plots of the surfaces $z=f(x,y)$ near your critical point to decide whether each critical point is a local maximum, a local minimum, or not an extreme point.

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