solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks.

1. [-/1 Points] DETAILS SCALCET9 14.7.005.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH Consider the following function. f ( x, y ) = x2 + xy + yz + 7y Find the following derivatives. f (x, y ) = f ( x, y ) = fox ( X , y ) = xy ( X , V ) = fry ( x, y ) = Find the critical point. (x, y) = Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) local maximum value(s) local minimum value(s) saddle point(s) ( x , y ) = Need Help? Read It2. [-/1 Points] DETAILS SCALCET9 14.7.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOT Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x, y) = 7 - x4 + 2x2 - 2 local maximum value(s) local minimum value(s) saddle point(s) ( x, y ) = Need Help? Read It 3. [-/1 Points] DETAILS SCALCET9 14.7.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOT Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) Ax, y) = y2 - 4y cos(x), -4 5 x 5 4 local maximum value(s) local minimum value(s) saddle point(s) ( x, y ) = Need Help? Read It Watch It4. [-/1 Points] DETAILS SCALCET9 14.7.027. MY NOTES ASK YOUR TEACHER PRACTICE A Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s) of the function. Then use calculus to find these values precisely. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x, y) = sin(x) + sin(y) + sin(x + y) + 9, OSXS 21, 0sys 2n local maximum value(s) local minimum value(s) saddle point(s) ( x, y ) = Need Help? Read It Watch It5. [-/1 Points] DETAILS SCALCET9 14.7.035.EP. Consider the following function. R(x, y ) = x2 + 12 + x2y+5 Find the following derivatives. fx (x, V) = f (x, y ) = Find the critical point. (x, y ) = ( Find the value of f at this critical point. Find the minimum and maximum of f on each segment of the boundary. minimum maximum = -1 X=1 y= 1 X=-1 Find the absolute maximum and minimum values of f on the set D. D= (x, y) Ixl S 1, lyl s 1 } absolute maximum value absolute minimum value Need Help? Read It