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ranyai12

  • 2 years ago

For each of the conservative vector fields below, find a potential function f. F=16xyi+(8x^2+16yz)j+8(y^2)k F=yze^(xz) i+e^(xz) j+xye^(xz) k

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  1. ranyai12
    • 2 years ago
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    for the first one I got 8x^2+16yz+8y^2 z-16y^2 but it was wrong

  2. primeralph
    • 2 years ago
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    do you just want the answer>?

  3. ranyai12
    • 2 years ago
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    yes please so I can try and see where I went wrong

  4. ranyai12
    • 2 years ago
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    ok so far i got that

  5. primeralph
    • 2 years ago
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    hold on

  6. ranyai12
    • 2 years ago
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    ok

  7. primeralph
    • 2 years ago
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    |dw:1371692842691:dw|

  8. ranyai12
    • 2 years ago
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    the question is indeed correct

  9. primeralph
    • 2 years ago
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    I'll start over.

  10. ranyai12
    • 2 years ago
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    Thank you so much and sorry for the trouble

  11. primeralph
    • 2 years ago
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    |dw:1371692977451:dw|

  12. primeralph
    • 2 years ago
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    |dw:1371693117098:dw|

  13. primeralph
    • 2 years ago
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    |dw:1371693177234:dw|

  14. primeralph
    • 2 years ago
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    Done.

  15. ranyai12
    • 2 years ago
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    whats the value for C?

  16. primeralph
    • 2 years ago
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    It's just a constant that disappears when you differentiate f.

  17. ranyai12
    • 2 years ago
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    so its 0?

  18. primeralph
    • 2 years ago
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    Nope, but it can be 0.

  19. ranyai12
    • 2 years ago
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    ok i understand! thanks!

  20. primeralph
    • 2 years ago
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    You're welcome.

  21. ranyai12
    • 2 years ago
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    If you can, can you lease do the second one because I also got that wrong, but if its too much I understand!

  22. primeralph
    • 2 years ago
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    |dw:1371693866829:dw|

  23. primeralph
    • 2 years ago
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    |dw:1371694035190:dw|

  24. primeralph
    • 2 years ago
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    |dw:1371694116723:dw|

  25. primeralph
    • 2 years ago
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    Done.

  26. ranyai12
    • 2 years ago
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    Thank you so much!!! I appreciate it greatly!

  27. primeralph
    • 2 years ago
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    You're welcome.

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