Question

Find all the local maxima, local minima, and saddle points of the function. f(x,y)=7x^2-2x^3+y^2+2xy Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.)

          Find all the local maxima, local minima, and saddle points of the function.
f(x,y)=7x^2-2x^3+y^2+2xy
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. A local maximum occurs at 
(Type an ordered pair. Use a comma to separate answers as needed.)
The local maximum value(s) is/are 
(Type an exact answer. Use a comma to separate answers as needed.)
B. There are no local maxima.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. A local minimum occurs at 
(Type an ordered pair. Use a comma to separate answers as needed.)
The local minimum value(s) is/are 
(Type an exact answer. Use a comma to separate answers as needed.)
B. There are no local minima.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. A saddle point occurs at 
(Type an ordered pair. Use a comma to separate answers as needed.)

Find all the local maxima, local minima, and saddle points of the function.
f(x,y)=7x^2-2x^3+y^2+2xy
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. A local maximum occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
The local maximum value(s) is/are
(Type an exact answer. Use a comma to separate answers as needed.)
B. There are no local maxima.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. A local minimum occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
The local minimum value(s) is/are
(Type an exact answer. Use a comma to separate answers as needed.)
B. There are no local minima.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. A saddle point occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)

Added by Susan J.

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