In problems (1,0), OS be the 2x2 square centered at (0,0), 3T be (x-2)2+y² and U be the triangle with vertices (0,0), (2,0) and (0,2). OR (5) ** 85 (6) ST au (G1) 6 $ (x

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the information provided by the image. How do I solve 11 and 13?
In problems 9-13 below, let DR be the 2x2 square centered at
(1,0), DS be the 2x2 square centered at (0,0), 3T be (x-2)2+y²-4
and U be the triangle with vertices (0,0), (2,0) and (0,2).
Y BR
(16)
8
85
(6)
ат
6.
(20)
ay au
(01)
(80)
Transcribed Image Text:In problems 9-13 below, let DR be the 2x2 square centered at (1,0), DS be the 2x2 square centered at (0,0), 3T be (x-2)2+y²-4 and U be the triangle with vertices (0,0), (2,0) and (0,2). Y BR (16) 8 85 (6) ат 6. (20) ay au (01) (80)
In each case compute the indicated quantity.
9. Intaf, where f(x,y)-x+y
Int9, where g(x,y)-2x+y
11.
Intgf, where f(x,y)=x+y
12. Intug, where g(x,y)-2x+y
13. Flux, where 7(x,y)-(Y,-x)
10.
In problems 14-42 below, R, S,T and U remain as above in #9-13.
Let F(x,y)-(y, -x), a(x,y)-(x+y, 2x-y) and (x,y)-(x²-y,y²+x).
Compute:
14. Flux
17.
Circl
20. Circl
22. Flux@
25. Circle
27.
30.
Flux
Flux H
33. Flux
36. Circl
15. Flux
16.
18. Circl
19. Circl
21. Inth, where h(x,y)-x²+y2
23. Fluxga
26. Intuh, where h(x,y)=x²+y2
29. Circl
28. Circl
31. Circl
32. Flux G
34. Circla
35. Circl
37.
Flux TG
38. Flux
Flux U
39.
Flux
42. Flux
24. Circla
In problems 39-42 below, let 7,0,H and h be as in problems 14-38
Let C be the curve x-t, y-4-t, -4st≤0.
above.
40. Flux G
41. Intch
Compute:
Transcribed Image Text:In each case compute the indicated quantity. 9. Intaf, where f(x,y)-x+y Int9, where g(x,y)-2x+y 11. Intgf, where f(x,y)=x+y 12. Intug, where g(x,y)-2x+y 13. Flux, where 7(x,y)-(Y,-x) 10. In problems 14-42 below, R, S,T and U remain as above in #9-13. Let F(x,y)-(y, -x), a(x,y)-(x+y, 2x-y) and (x,y)-(x²-y,y²+x). Compute: 14. Flux 17. Circl 20. Circl 22. Flux@ 25. Circle 27. 30. Flux Flux H 33. Flux 36. Circl 15. Flux 16. 18. Circl 19. Circl 21. Inth, where h(x,y)-x²+y2 23. Fluxga 26. Intuh, where h(x,y)=x²+y2 29. Circl 28. Circl 31. Circl 32. Flux G 34. Circla 35. Circl 37. Flux TG 38. Flux Flux U 39. Flux 42. Flux 24. Circla In problems 39-42 below, let 7,0,H and h be as in problems 14-38 Let C be the curve x-t, y-4-t, -4st≤0. above. 40. Flux G 41. Intch Compute:
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