Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface. S 2 2 2 f(x,y,z)=x² + y² where S is the hemisphere x² + y² + z² = 4, for z 20 Write a parametric description of the given hemisphere using up and v=0. r(u.v)= where 0 sus andsvs (Type exact answers.)
Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface. S 2 2 2 f(x,y,z)=x² + y² where S is the hemisphere x² + y² + z² = 4, for z 20 Write a parametric description of the given hemisphere using up and v=0. r(u.v)= where 0 sus andsvs (Type exact answers.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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![Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface.
S
2 2 2
f(x,y,z)=x² + y² where S is the hemisphere x² + y² + z² = 4, for z 20
Write a parametric description of the given hemisphere using up and v=0.
r(u.v)=
where 0 susandsvs
(Type exact answers.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d5960bb-82e5-4139-9a00-748ffd677cc0%2F0655e643-f85d-478f-b551-6921137ffd68%2F384zj4j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface.
S
2 2 2
f(x,y,z)=x² + y² where S is the hemisphere x² + y² + z² = 4, for z 20
Write a parametric description of the given hemisphere using up and v=0.
r(u.v)=
where 0 susandsvs
(Type exact answers.)
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