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(a) Find the divergence of the function (b) Test the

Chapter 1, Problem 43P

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QUESTION:

Problem 43P

(a) Find the divergence of the function

(b) Test the divergence theorem for this function, using the quarter-cylinder (radius 2, height 5) shown in Fig. 1.43.

(c) Find the curl of v.

Questions & Answers

QUESTION:

Problem 43P

(a) Find the divergence of the function

(b) Test the divergence theorem for this function, using the quarter-cylinder (radius 2, height 5) shown in Fig. 1.43.

(c) Find the curl of v.

ANSWER:

Step 1 of 12

(a) Let’s write the field as,

The divergence is,

 

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