r•n ds where (@) S is the sphere of radius 2 with center at (0,0,0), (b) S is the surface of S 54. Evaluate the cube bounded by x--1, y=-1, z =-1, x=1, y=1, z =1, (c) S is the surface bounded by the paraboloid 2 = 4-(2 +y?) and the xy plane. Ans. (a) 327 (b) 24 (c) 24I

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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54. Evaluate | r•n ds where (a) S is the sphere of radius 2 with center at (0,0,0), (b) S is the surface of
the cube bounded by x=-1, y--1, z = -1, x =1, y=1, z = 1, (c) S is the surface bounded by the paraboloid
z = 4-(x2 +y?) and the xy plane.
Ans. (a) 3277 (b) 24 (c) 2477
Transcribed Image Text:54. Evaluate | r•n ds where (a) S is the sphere of radius 2 with center at (0,0,0), (b) S is the surface of the cube bounded by x=-1, y--1, z = -1, x =1, y=1, z = 1, (c) S is the surface bounded by the paraboloid z = 4-(x2 +y?) and the xy plane. Ans. (a) 3277 (b) 24 (c) 2477
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