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Question number 23 please

Question number 23 please

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question number 23 please

 

Finding Local Extrema Find all the local maxima local minima, and saddle points of the functions in Exercises 1-50. 1. f(x, y) = x² + xy + y² + 3x − 3y + 4 2. f(x, y) = 2xy - 5x²2y² + 4x + 4y - 4 3. f(x, y) = x² + xy + 3x + 2y + 5 4. f(x, y) = 5xy - 7x² + 3x - 6y + 2 5. f(x, y) = 2xy - x²-2y² + 3x + 4 6. f(x, y) = x² - 4xy + y² + 6y + 2 7. f(x, y) = 2x² + 3xy + 4y²-5x + 2y 8. f(x, y) = x² - 2xy + 2y² - 2x + 2y + 1 9. f(x, y) = x² - y² - 2x + 4y + 6 10. f(x, y) = x² + 2xy 11. f(x, y) = √56x²8y²-16x-31 + 1 - 8x 1 - Vx² + y² 12. f(x, y) = 13. f(x, y) = x³y³ - 2xy + 6 14. f(x, y) = x³ + 3xy + y³ 15. f(x, y) = 6x² - 2x³ + 3y² + 6xy 16. f(x, y) = x³ + y³ + 3x² - 3y² -8 17. f(x, y) = x³ + 3xy² - 15x + y3 - 15y 18. f(x, y) = 2x³ + 2y³ - 9x² + 3y² - 12y 19. f(x, y) = 4xy - x4-y4 20. f(x, y) = x + y² + 4xy 21. f(x, y) = 1 x² + y² 1 23. f(x, y) = y sin x 25. f(x, y) = y²-4x 27. f(x, y) = e(x² + y²) 22. f(x, y) = + xy + 24. f(x, y) = ²x cos y 26. f(x, y) = e- yet 28. f(x, y) = e(x² - y²) 29. f(x, y) = 2 In x + ln y - 4x - y
Transcribed Image Text:Finding Local Extrema Find all the local maxima local minima, and saddle points of the functions in Exercises 1-50. 1. f(x, y) = x² + xy + y² + 3x − 3y + 4 2. f(x, y) = 2xy - 5x²2y² + 4x + 4y - 4 3. f(x, y) = x² + xy + 3x + 2y + 5 4. f(x, y) = 5xy - 7x² + 3x - 6y + 2 5. f(x, y) = 2xy - x²-2y² + 3x + 4 6. f(x, y) = x² - 4xy + y² + 6y + 2 7. f(x, y) = 2x² + 3xy + 4y²-5x + 2y 8. f(x, y) = x² - 2xy + 2y² - 2x + 2y + 1 9. f(x, y) = x² - y² - 2x + 4y + 6 10. f(x, y) = x² + 2xy 11. f(x, y) = √56x²8y²-16x-31 + 1 - 8x 1 - Vx² + y² 12. f(x, y) = 13. f(x, y) = x³y³ - 2xy + 6 14. f(x, y) = x³ + 3xy + y³ 15. f(x, y) = 6x² - 2x³ + 3y² + 6xy 16. f(x, y) = x³ + y³ + 3x² - 3y² -8 17. f(x, y) = x³ + 3xy² - 15x + y3 - 15y 18. f(x, y) = 2x³ + 2y³ - 9x² + 3y² - 12y 19. f(x, y) = 4xy - x4-y4 20. f(x, y) = x + y² + 4xy 21. f(x, y) = 1 x² + y² 1 23. f(x, y) = y sin x 25. f(x, y) = y²-4x 27. f(x, y) = e(x² + y²) 22. f(x, y) = + xy + 24. f(x, y) = ²x cos y 26. f(x, y) = e- yet 28. f(x, y) = e(x² - y²) 29. f(x, y) = 2 In x + ln y - 4x - y
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