Question: Need these answered in mathematica code!!! I can't figure it out with mathematica! Remember the function from last week's lab: z - f(x,y) (4x2 +y2)e-*2-y

Need these answered in mathematica code!!! I can't figure it out with mathematica!

Need these answered in mathematica code!!! I can't figure it out with

Remember the function from last week's lab: z - f(x,y) (4x2 +y2)e-*2-y 2-1,2 Once again, look at the contour plot of the function and give an approximate location of the critical points. a. b. Now, use what we know from class to have Mathematica to find the exact critical points. Classify these critical points as relative maxima or relative minima (You'll need to use the second derivatives test here). c. d. Now, use the built in Mathematica commands Maximize[] and Minimize[] to find the absolute maximum and minimum values of z. [Mathematica reports the absolute extrema for these commands, but only one (x, y) pair even if there is more than one.] You could note (don't have to show anything in the lab write-up) that all the relative max/mins from part c happen to be absolute extrema too. Remember the function from last week's lab: z - f(x,y) (4x2 +y2)e-*2-y 2-1,2 Once again, look at the contour plot of the function and give an approximate location of the critical points. a. b. Now, use what we know from class to have Mathematica to find the exact critical points. Classify these critical points as relative maxima or relative minima (You'll need to use the second derivatives test here). c. d. Now, use the built in Mathematica commands Maximize[] and Minimize[] to find the absolute maximum and minimum values of z. [Mathematica reports the absolute extrema for these commands, but only one (x, y) pair even if there is more than one.] You could note (don't have to show anything in the lab write-up) that all the relative max/mins from part c happen to be absolute extrema too

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