Use the ideas of Exercises 27 and 29 to calculate the divergence in spherical
Chapter 7, Problem 30(choose chapter or problem)
Use the ideas of Exercises 27 and 29 to calculate the divergence in spherical coordinates. (See Theorem 4.6 of Chapter 3.) You will want to make use of the small spherical coordinate cuboid S shown in Figure 7.46. z x y e e e sin Figure 7.46 The spherical coordinate cuboid of Exercise 30. The volume of the cuboid is approximately 2 sin . The pairs of opposite faces of S correspond to values /2 and + /2; /2 and + /2; /2 and + /2.
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