Consider
F = (2e
2x cos(πy) + Ax
2y
2z -
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z
2)
i + (B e
2x sin(πy) + 2x
3yz)
j + (x
3y
2 + Cxz)
k.
For what values of the constants A, B, and C is
F conservative?
◦ A = 2, B = -π, C = 1
◦ A = 2, B = π, C = 2
◦ A = 3, B = -2, C = -1
◦ A = 3, B = -π, C = -1
◦ There are no values of A, B, and C that will make
F conservative.