An engineer at Kreamy Krisp is studying the parametrized surface S given by r(0,0) = ((3 + cos 0) cos , (3 + cos 0) sin , sin 0), where 0 ≤0,0 ≤ 2T. (a) Sketch the surface, and indicate a few grid curves. (b) Find the surface area. - (c) Compute the integral ſfç(1 + sin(x) — sin(y)) dS. Hint: don't work too hard on this part.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. An engineer at Kreamy Krisp is studying the parametrized surface S given by
r(0, 6) = ((3 + cos 0) cos , (3 + cos 0) sin , sin 0),
where 0 ≤0,0 ≤ 2T.
(a) Sketch the surface, and indicate a few grid curves.
(b) Find the surface area.
(c) Compute the integral ſſ(1 + sin(x) — sin(y)) dS. Hint: don't work too hard on this part.
Transcribed Image Text:9. An engineer at Kreamy Krisp is studying the parametrized surface S given by r(0, 6) = ((3 + cos 0) cos , (3 + cos 0) sin , sin 0), where 0 ≤0,0 ≤ 2T. (a) Sketch the surface, and indicate a few grid curves. (b) Find the surface area. (c) Compute the integral ſſ(1 + sin(x) — sin(y)) dS. Hint: don't work too hard on this part.
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