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(Solved): Use the surface z=3+x^(2)+y^(2) to answer the questions. (a) Describe the surface. paraboloid openi ...



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)=(,)


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