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25 Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 + xy + y? + 2x - 2y +2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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 comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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.) O B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points.

25 Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 + xy + y? + 2x - 2y +2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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 comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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.) O B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Find all the local maxima, local minima, and saddle points of the function. 23 f(x,y) = x2 + xy + y² + 2x - 2y +2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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 comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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 comma to separate answers as needed.) O B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. 23 f(x,y) = x2 + xy + y² + 2x - 2y +2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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 comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O 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 comma to separate answers as needed.) O B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points.
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