Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x² – 9)² + (2- 4)² f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point; f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D %3D %D f(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum f(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3, 0) = 16, saddle point; f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D f(0, 0) = 97, local maximum; f(-3, -2) = 0, local minimum
Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x² – 9)² + (2- 4)² f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point; f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D %3D %D f(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum f(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3, 0) = 16, saddle point; f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D f(0, 0) = 97, local maximum; f(-3, -2) = 0, local minimum
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
Related questions
Question
![Question 5
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = (x² – 9)² + (v2 - 4)²
f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point;
f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum;
f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum
f(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum;
f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum
f(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3,0) = 16, saddle point;
f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum
f(0,0) = 97, local maximum; f(-3,-2) = 0, local minimum](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55539df4-c084-484c-ab6b-884713aad2dd%2F8cadcd8a-66f5-432e-b852-678c03995801%2F4ibsjhg_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = (x² – 9)² + (v2 - 4)²
f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point;
f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum;
f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum
f(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum;
f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum
f(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3,0) = 16, saddle point;
f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum
f(0,0) = 97, local maximum; f(-3,-2) = 0, local minimum
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning