(Solution) - Problem 3 22 Use the appropriate expression for the differential -(2025 Original AI-Free Solution)

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Problem 3.22 Use the appropriate expression for the differential surface area ds to determine the area of each of the following surfaces:
(a) r = 3; 0 < ??< ???????????< z < 2,
(b) 2 < r < 5; ???2 < ??< ?; z -0,
(c) 2 < r < 5; ??????4; 2 < z < 2,
(d) R = 2; 0 < ??< ??3; 0 < ??< ?,
(e) 0 < R < 5; ??????3; 0 < ??< 2?.
Also sketch the outlines of each of the surfaces.