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Find the Value of the Constant C Such That the Vector

question 51

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Find the value of the constant c such that the vector field G(x,y,x) =(5x+9y5+3z) i+(6x3+2y+8z) j+(czx) k\mathrm { G } ( x , y , x ) = \left( 5 x + 9 y ^ { 5 } + 3 z \right) \mathbf { i } + \left( 6 x ^ { 3 } + 2 y + 8 z \right) \mathbf { j } + ( c z - x ) \mathbf { k } is the curl of some vector field F.


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