b) Figure Q3 (a) is a portion of a sphere with surface S having x2 + y² + z² = 1 that lies in the first quadrant and this circle quadrant is shown in Figure Q3 (b) on a x y plane. Evaluate the surface integral, S having: x + y +z dS (0, 0, 1) z= \(1 – x² – y³) (0, 1) (0, 1, 0) (1, 0, 0) (1, 0) x

Advanced Engineering Mathematics
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b) Figure Q3 (a) is a portion of a sphere with surface S having x2 +y² + z² = 1 that lies
in the first quadrant and this circle quadrant is shown in Figure Q3 (b) on a x y plane.
Evaluate the surface integral, S having:
x + y + z dS
(0, 0, 1)
z= \(1 – x² – y²)
(0, 1)
(0, 1, 0)
y
(1,0, 0)
(1, 0) x
Transcribed Image Text:b) Figure Q3 (a) is a portion of a sphere with surface S having x2 +y² + z² = 1 that lies in the first quadrant and this circle quadrant is shown in Figure Q3 (b) on a x y plane. Evaluate the surface integral, S having: x + y + z dS (0, 0, 1) z= \(1 – x² – y²) (0, 1) (0, 1, 0) y (1,0, 0) (1, 0) x
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