Find points on xyz-e^x+y^2=3 where tangent planes in those points also pass through T(2,0,1) and are parallel to z axis

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Ok i solved for gradient \[grad=(y z-e ^{x})i+(xz+2y)j+(xz)k\]

My bad, the grad is actually grad=(yz−ex)i+(xz+2y)j+(xy)k, the last part is not xz but xy

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