Vector Fields, Divergence, and the Curl Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Find the divergence, and the curl, for the vector field

(2) Find the divergence, and the curl, for the vector field

(3) Find the divergence, and the curl, for the vector field

(4) Find the divergence, and the curl, for the vector field

(5) Find the divergence, and the curl, for the vector field

(6) Find the divergence, and the curl, for the vector field

(7) Find the divergence, and the curl, for the vector field

(8) Find the divergence, and the curl, for the vector field

(9) Find the divergence, and the curl, for the vector field

(10) Find the divergence, given that where

(11) If and find

(12) If show that if and only if

(13) Show that

(14) Show that the curl of the gradient of a function is always

(15) Show that the divergence of the curl of a vector field is

(16) Let Either find a vector field such that or show that no such exists.

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Cite this as:
Vector Fields Divergence And Curl Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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