Find the section equation of surface e with Z power - Z + xy = 3 at point (2,1,0) | Math enthusiast | Mathematical art

Find the section equation of surface e with Z power - Z + xy = 3 at point (2,1,0)

Let f (x, y, z) = e ^ Z-Z + XY;
be
Partial f / partial x = y;
Partial f / partial y = x;
Partial f / partial z = e ^ Z-1
At point (2,1,0), x = 2, y = 1, z = 0, then
Partial f / partial x = 1; partial f / partial y = 2; partial f / partial z = 0
The section equation is: 1 × (X-2) + 2 × (Y-1) + 0 × (z-0) = 0
That is x + 2Y = 4

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