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Determine in each exercise whether or not the function is homogeneous. If it is homogeneous state the degree of the function. 1. 4x²-3xy + y². 2. x² - xy + y³. 3. 2y + √√x² + y². 4. √√x-y. 5. et. 6. tan x. 7. exp exp (+). 8. 3y X 2x 9. (x² + y²) exp (²) y tan X 10. x sin-y sin y + 4xy. x² + 3xy x - 2y x5 x² + 2y² 13. (u² + v²)3/2 14. 15. 11. 12. 16. 17. (u²4v²)-1/2. X y² tan (x² + y²)¹/2 (x² - y²)1/2* a + 4b a-4b X 18. In . y 19. x lnx-y In y. 20. x lnxx ln y.

Determine in each exercise whether or not the function is homogeneous. If it is homogeneous state the degree of the function. 1. 4x²-3xy + y². 2. x² - xy + y³. 3. 2y + √√x² + y². 4. √√x-y. 5. et. 6. tan x. 7. exp exp (+). 8. 3y X 2x 9. (x² + y²) exp (²) y tan X 10. x sin-y sin y + 4xy. x² + 3xy x - 2y x5 x² + 2y² 13. (u² + v²)3/2 14. 15. 11. 12. 16. 17. (u²4v²)-1/2. X y² tan (x² + y²)¹/2 (x² - y²)1/2* a + 4b a-4b X 18. In . y 19. x lnx-y In y. 20. x lnxx ln y.

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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Determine in each exercise whether or not the function is homogeneous. If it is homogeneous state the degree of the function. 1. 4x²-3xy + y². 2. x² - xy + y³. 3. 2y + √√x² + y². 4. √√x-y. 5. et. 6. tan x. 7. exp exp (+). 8. 3y X 2x 9. (x² + y²) exp (²) y tan X 10. x sin-y sin y + 4xy. x² + 3xy x - 2y x5 x² + 2y² 13. (u² + v²)3/2 14. 15. 11. 12. 16. 17. (u²4v²)-1/2. X y² tan (x² + y²)¹/2 (x² - y²)1/2* a + 4b a-4b X 18. In . y 19. x lnx-y In y. 20. x lnxx ln y.
Transcribed Image Text:Determine in each exercise whether or not the function is homogeneous. If it is homogeneous state the degree of the function. 1. 4x²-3xy + y². 2. x² - xy + y³. 3. 2y + √√x² + y². 4. √√x-y. 5. et. 6. tan x. 7. exp exp (+). 8. 3y X 2x 9. (x² + y²) exp (²) y tan X 10. x sin-y sin y + 4xy. x² + 3xy x - 2y x5 x² + 2y² 13. (u² + v²)3/2 14. 15. 11. 12. 16. 17. (u²4v²)-1/2. X y² tan (x² + y²)¹/2 (x² - y²)1/2* a + 4b a-4b X 18. In . y 19. x lnx-y In y. 20. x lnxx ln y.
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