Evaluate ffs (V x A) ndS where A = (y - z+2)i + (yz + 4)j - xzk and S is the surface of (a) the hemisphere x² + y² + z² = - 16 above the xy plane and (b) the paraboloid z = 4 - (x² + y²) above the xy plane. Solution: .
Evaluate ffs (V x A) ndS where A = (y - z+2)i + (yz + 4)j - xzk and S is the surface of (a) the hemisphere x² + y² + z² = - 16 above the xy plane and (b) the paraboloid z = 4 - (x² + y²) above the xy plane. Solution: .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 3E
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Transcribed Image Text:Evaluate ffs (V x A) ndS where A
(y- z+ 2)i + (yz + 4)j - xzk and
S is the surface of (a) the hemisphere x² + y² + z² = 16 above the xy plane
-
and (b) the paraboloid z = 4 - (x² + y2) above the xy plane.
Solution:
S6.65a
x² + y² + z² = 16
S
x² + y² = 16
X
.
n
S
y
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