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)=(,)