S is the part of the surface z = x2 + y2 + 4 that lies within the cylinder x2 + y2 = 9. Find the area of S. Note. S is the surface z = x2 + y2 + 4 above D = { (x, y) | x2 + y2  9 }.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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S is the part of the surface z = x2 + y2 + 4 that lies within the
cylinder x2 + y2 = 9. Find the area of S.
Note. S is the surface z = x2 + y2 + 4 above D = { (x, y) | x2 + y2  9 }.

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