(a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² = 4. (b) Evaluate the integral ffy²ds, where S' is the portion of y² + z² = 4 between x = 0 and x = 3 - 2. S

(a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² = 4. (b) Evaluate the integral ffy²ds, where S' is the portion of y² + z² = 4 between x = 0 and x = 3 - 2. S

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

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Question

(a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² = 4.
(b) Evaluate the integral ffy²ds, where S' is the portion of y² + z² = 4 between x = 0 and x = 3 - 2.
S

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