The field F D .axy C z/i C x2j C .bx C 2z/k is conservative.
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The field F D .axy C z/i C x2j C .bx C 2z/k is conservative. Find a and b, and find a potential for F. Also, evaluate R
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The field F D .axy C z/i C x2j C .bx C 2z/k is conservative. Find a and b, and find a potential for F. Also, evaluate R C F dr, where C is the curve from .1; 1; 0/ to .0; 0; 3/ that lies on the intersection of the surfaces 2x C y C z D 3 and 9x2 C 9y2 C 2z2 D 18 in the octant x 0, y 0, z 0.
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