Question

* Find the eans of the tangent planes to the Surface
2x ? _Gy2 + 332-5=0 which passes through the line
2 tay -3 3-0 ; 3x - 3y+62-520.​

Answer 1

Answer:   Use gradients and level surfaces to find the normal to the tangent plane of the graph of z = f(x, y) at P = (x0,y0,z0). w = f(x, y) - z. The graph of z = f(x, y) is just the level surface w = 0. We compute the normal to the surface to be vw = <fx,fy, -1>.

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