Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 5xy - 4x² - 5y²+3x+8y-9 ... 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.
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 5xy - 4x² - 5y²+3x+8y-9 ... 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Find all the local maxima, local minima, and saddle points of the function.
\[ f(x,y) = 5xy - 4x^2 - 5y^2 + 3x + 8y - 9 \]
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb159ea24-ec33-411b-93d6-19afb03ffa76%2F0805907a-337a-4e9e-8ca5-f060f072342d%2F0ncj2w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function.
\[ f(x,y) = 5xy - 4x^2 - 5y^2 + 3x + 8y - 9 \]
---
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.
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