Q3 Solve the following vector problems using an appropriate method: (a) f(F.ds) where F= and S is an upper half of the sphere x² + y² +2²=16 and a disk, x² + y² ≤16 in the plane, z = 0. [Note: S is a positively oriented.]
Q3 Solve the following vector problems using an appropriate method: (a) f(F.ds) where F= and S is an upper half of the sphere x² + y² +2²=16 and a disk, x² + y² ≤16 in the plane, z = 0. [Note: S is a positively oriented.]
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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![Q3
20 cm
20 cm
Figure 1: Composite plate
Solve the following vector problems using an appropriate method:
ds) where F=<x,y,z4> and S is an upper half of the sphere
x² + y² +2²=16 and a disk, x² + y² ≤16 in the plane, z = 0.
[Note: S is a positively oriented.]
(b) f(dr) where G=<z², ²,x> and C is a triangle consists of the vertices,
(1,0,0), (0,1,0) and (0,0,1).
[Note: C has a counter-clockwise rotation.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6068744-5d9c-4f70-867b-41e3dc3b1cd0%2Ffa44e801-3b50-4b60-a7ff-2908adfd441e%2F06oeuja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3
20 cm
20 cm
Figure 1: Composite plate
Solve the following vector problems using an appropriate method:
ds) where F=<x,y,z4> and S is an upper half of the sphere
x² + y² +2²=16 and a disk, x² + y² ≤16 in the plane, z = 0.
[Note: S is a positively oriented.]
(b) f(dr) where G=<z², ²,x> and C is a triangle consists of the vertices,
(1,0,0), (0,1,0) and (0,0,1).
[Note: C has a counter-clockwise rotation.]
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