Question: 4. Consider the surface xyz = k,k 0. (a) (3 marks) Determine the equation of the tangent plane to the surface at P = (a.0).

4. Consider the surface xyz = k,k 0. (a) (3 marks) Determine the equation of the tangent plane to the surface at P = (a.0). (b) (3 marks) Determine the volume of the solid bounded by the coordinate planes and the tangent plane from part (a) in the first octant (x 0, y 0, z 0). Hint: the volume of a \"right\" tetrahedron is ; x Area of base x height. (c) (2 marks) What do you observe about the result in part (b)

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