B.2 Divergence Theorem a. Give the divergence theorem, defining all quantities involved. In addition use the divergence

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B 2 Divergence Theorem A Give The Divergence Theorem Defining All Quantities Involved In Addition Use The Divergence 1 (30.12 KiB) Viewed 57 times

B.2 Divergence Theorem a. Give the divergence theorem, defining all quantities involved. In addition use the divergence theorem, using a suitable vector field, to derive a formula for the volume in terms of a surface integral. b. (i) Define orthogonal curvilinear coordinates {u} mathematically. State the cru- cial mathematical property that makes (curvilinear) coordinates well-defined. ii) Give two properties of curvilinear coordinates which are distinct as compared to cartesian coordinates to illustrate the specified properties. iii) Obtain the volume element in cylindrical coordinates by using the formula dV = hahahzdu duzdus valid for orthogonal curvilinear coordinates.