Drive the equation of the tangent plane

Reference no: EM131013679

1. Let z = f(x,y) be implicitly defined by xz = √(3x² + y - z²). Find the equation of the tangent plane and the equation of the normal line to the surface z = f(x,y) at P = (1, 1, √2). Justify your procedure and Simplify.

2. Find the unit vector in the direction of greatest rate change of f at P and the dire, derivative of f in that direction.

Reference no: EM131013679

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