Let F(x,y,z) = (x)i + (y)j + (z2)k. Compute the defined operations and if it is not defined, write "not defined." 1. div(F) =  2. curl(F) =  3. ▽(F) =  4. ▽(div(F)) =  5. ▽(curl(F)) =  6. curl(div(F)) =  7. curl(▽(F)) =  8. div(curl(F)) =  9. div(▽(F)) =  10. curl(curl(F)) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let F(x,y,z) = (x)i + (y)j + (z2)k.

Compute the defined operations and if it is not defined, write "not defined."

1. div(F) = 

2. curl(F) = 

3. ▽(F) = 

4. ▽(div(F)) = 

5. ▽(curl(F)) = 

6. curl(div(F)) = 

7. curl(▽(F)) = 

8. div(curl(F)) = 

9. div(▽(F)) = 

10. curl(curl(F)) = 

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