Problem 2 (10 points) (Chap 4) (Learning objective: surface integration in different coordinates) Calculate the areas of the following surfaces using the differential surface area dS: (a) p = 2,0

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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Problem 2 (10 points) (Chap 4) (Learning objective: surface integration in different coordinates)
Calculate the areas of the following surfaces using the differential surface area dS:
(a) p = 2,0<z<5, π/3 << π/2
(b) z = 1, 1 < p < 3, 0 < & < π/4
(c) r = 10, π/4 < 0 < 2π/3,0 << 2π
(d) 0<r<4, 60° << 90°, = constant
Transcribed Image Text:Problem 2 (10 points) (Chap 4) (Learning objective: surface integration in different coordinates) Calculate the areas of the following surfaces using the differential surface area dS: (a) p = 2,0<z<5, π/3 << π/2 (b) z = 1, 1 < p < 3, 0 < & < π/4 (c) r = 10, π/4 < 0 < 2π/3,0 << 2π (d) 0<r<4, 60° << 90°, = constant
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