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Let n be the outer unit normal of the elliptical shell S: 4x² +4y² +16z² = 16, z ≥ 0, and let F=yi+x²j+ (x²+y4)` + SSV » 3/2 √xyzk. Find the value of sin e VxF.ndo.

Let n be the outer unit normal of the elliptical shell S: 4x² +4y² +16z² = 16, z ≥ 0, and let F=yi+x²j+ (x²+y4)` + SSV » 3/2 √xyzk. Find the value of sin e VxF.ndo.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let n be the outer unit normal of the elliptical shell S: 4x² + 4y² +16z² = 16, z 20, and let √x² k. Find the value of SSVXF VxF.r S (Hint: One parameterization of the ellipse at the base of the shell is x=2 cost, y = 2 sint, Ost≤2π.) 3/2 F=yi+x²j+ (x²+y4) sin e VxF•ndo = [ S (Type an exact answer, using as needed.)
Transcribed Image Text:Let n be the outer unit normal of the elliptical shell S: 4x² + 4y² +16z² = 16, z 20, and let √x² k. Find the value of SSVXF VxF.r S (Hint: One parameterization of the ellipse at the base of the shell is x=2 cost, y = 2 sint, Ost≤2π.) 3/2 F=yi+x²j+ (x²+y4) sin e VxF•ndo = [ S (Type an exact answer, using as needed.)
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