c) Calculate and draw the field lines of field Ġ(r, y) = F(x, y,0). %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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plz help me with the question (c) with explanation I will give you upvote.
Task 3)
given a vector field
F(x, Y, 2) = (x, ry, ryz)"
and a triangle A with
the points
A = (1,0,0), B = (0, 1,0), C = (0,0, 1).
a) Formulate and
verify stokes
theorem for A and F.
b) Decide if F is
conservative. To
decide, will it suffice
to calculate
SAF · dř ?
c) Calculate and
draw the field lines
of field
Ġ(r, y) = F(x, y, 0) .
Transcribed Image Text:Task 3) given a vector field F(x, Y, 2) = (x, ry, ryz)" and a triangle A with the points A = (1,0,0), B = (0, 1,0), C = (0,0, 1). a) Formulate and verify stokes theorem for A and F. b) Decide if F is conservative. To decide, will it suffice to calculate SAF · dř ? c) Calculate and draw the field lines of field Ġ(r, y) = F(x, y, 0) .
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