## 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

1. ranyai12

for the first one I got 8x^2+16yz+8y^2 z-16y^2 but it was wrong

2. primeralph

do you just want the answer>?

3. ranyai12

yes please so I can try and see where I went wrong

4. ranyai12

ok so far i got that

5. primeralph

hold on

6. ranyai12

ok

7. primeralph

|dw:1371692842691:dw|

8. ranyai12

the question is indeed correct

9. primeralph

I'll start over.

10. ranyai12

Thank you so much and sorry for the trouble

11. primeralph

|dw:1371692977451:dw|

12. primeralph

|dw:1371693117098:dw|

13. primeralph

|dw:1371693177234:dw|

14. primeralph

Done.

15. ranyai12

whats the value for C?

16. primeralph

It's just a constant that disappears when you differentiate f.

17. ranyai12

so its 0?

18. primeralph

Nope, but it can be 0.

19. ranyai12

ok i understand! thanks!

20. primeralph

You're welcome.

21. ranyai12

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

|dw:1371693866829:dw|

23. primeralph

|dw:1371694035190:dw|

24. primeralph

|dw:1371694116723:dw|

25. primeralph

Done.

26. ranyai12

Thank you so much!!! I appreciate it greatly!

27. primeralph

You're welcome.