b) Find the curl of the vector field, CurlF, if F= Axzi- By 2 j+ Cx z°I where the coefficients A, B, C, are the last three digits of your index number.

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Chapter2: Second-order Linear Odes
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Last three digits of index number A,B,C - 0,7,1. M,N,P - 0,7,1.
b)
Find the curl of the vector field, CurlF, if F= Ax'7i- By ? j+ Cx zk,
where the coefficients A, B, C, are the last three digits of
your index number.
A conservative vector field is given as F= 6xe'i + (3x²e' –10yz') j-15y 2k.
Find the potential function f
(4-メ-y)
d)
Evaluate the double integral |
-dA
2M+3N+ 2P
C
where coefficients M, N, P are the last three digits of your index number and C is
positively oriented region bounded by the semi circles with radii = 1,
1, = 2
centered at the origin and lying in the first and second quadrants of the
Cartesian plane.
Transcribed Image Text:b) Find the curl of the vector field, CurlF, if F= Ax'7i- By ? j+ Cx zk, where the coefficients A, B, C, are the last three digits of your index number. A conservative vector field is given as F= 6xe'i + (3x²e' –10yz') j-15y 2k. Find the potential function f (4-メ-y) d) Evaluate the double integral | -dA 2M+3N+ 2P C where coefficients M, N, P are the last three digits of your index number and C is positively oriented region bounded by the semi circles with radii = 1, 1, = 2 centered at the origin and lying in the first and second quadrants of the Cartesian plane.
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