(a) Find the equation of the tangent plane for the implicitly defined surface xy + xz+yz = 5 at the point (1, 1, 2). Show your process for doing this. (b) Find the equation of the tangent plane for the explicitly defined surface z = point (1, 2, 1). Show your process for doing this. (c) Explain the difference in the processes for part (a) and part (b). y-x at the

The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and around the x-axis. Create the equation for the surface.

I need the answer as soon as possible

a) Find the equation for the tangent plane to the surface z = 4xy - 2x² - y² at the point P = (2, 1, −1). b) At which points of the surface is the tangent plane horizontal?