Let F(x, y, z) = zi + xj – yk and the curve Cbe the boundary of that portion of the surface S above the rectangular region D: 0 < x< 1,0< y< 2. Use Stokes' Theorem to convert |curl F• dS to a line integral and then rewrite the line integral as a double integral. 2 а) (2u + 1)dv du x. b) (1 2u)dv du c) (2и + 1) dv du d) SL (1 – 24). dv du

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Let F(x, y, z) = zi + xj – yk and the curve C be the
boundary of that portion of the surface S above the
rectangular region D: 0<x< 1,0 <y<2. Use
/ |curl F ·
z = x?
Stokes' Theorem to convert
dS to a
line
y
integral and then rewrite the line integral as a
double integral.
a) || (2u + 1) dv du
x.
0 0
b) || (1 – 2u)dv du
c)
I| (2u + 1)
dv du
0 o
1
d)
(1 – 2u) dv du
Transcribed Image Text:3. Let F(x, y, z) = zi + xj – yk and the curve C be the boundary of that portion of the surface S above the rectangular region D: 0<x< 1,0 <y<2. Use / |curl F · z = x? Stokes' Theorem to convert dS to a line y integral and then rewrite the line integral as a double integral. a) || (2u + 1) dv du x. 0 0 b) || (1 – 2u)dv du c) I| (2u + 1) dv du 0 o 1 d) (1 – 2u) dv du
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