[3] B.2 (i) State, without proof, the divergence theorem, defining carefully the meaning of each of the symbols involved
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[3] B.2 (i) State, without proof, the divergence theorem, defining carefully the meaning of each of the symbols involved
[3] B.2 (i) State, without proof, the divergence theorem, defining carefully the meaning of each of the symbols involved. (ii) An arbitrary point inside the cylinder (x2 + y2 <62, 05:5e) may be pa- rameterised in cylindrical coordinates (p, 0, 2). i. Write down an expression for r in cylindrical coordinates. ii. Show that the vector element of area ds on the curved surface Se of the cylinder is ds = b (cos pe +sinoe) do dz. + ) [1] [3]
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