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Use the surface

`z=3+x^(2)+y^(2)`

to answer the questions. (a) Describe the surface. paraboloid opening up on the positive z-axis

`✓`

(b) Determine the coordinates of the point on the surface where the tangent plane is parallel to the plane

`z=6`

.

`(x,y,z)=(◻)`

(c) Determine the coordinates of the point on the surface where the tangent plane is parallel to the plane

`z=6+4x-10y`

`(x,y,z)=(,)`