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Identify the Surface with the Vector Equation r(u,v)=(1+2u+3v)i+(5u+4v)j+(3+5u7v)k\mathbf { r } ( u , v ) = ( 1 + 2 u + 3 v ) \mathbf { i } + ( 5 - u + 4 v ) \mathbf { j } + ( 3 + 5 u - 7 v ) \mathbf { k }

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Identify the surface with the vector equation r(u,v)=(1+2u+3v)i+(5u+4v)j+(3+5u7v)k\mathbf { r } ( u , v ) = ( 1 + 2 u + 3 v ) \mathbf { i } + ( 5 - u + 4 v ) \mathbf { j } + ( 3 + 5 u - 7 v ) \mathbf { k }

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Definitions:

Psychoanalytic

Pertaining to a method of psychological theory and therapy that aims to treat mental disorders by investigating the interaction of conscious and unconscious elements in the mind.

Rational-Emotive

A form of psychotherapy that identifies irrational beliefs, challenges them, and encourages the adoption of more rational and self-helping thoughts.

Repressed Material

Thoughts, memories, or impulses that are pushed out of conscious awareness due to being considered psychologically threatening or unacceptable.

Positive Transference

In psychotherapy, it describes the phenomenon where a patient projects favorable emotions towards the therapist, often mirroring feelings associated with other relationships.

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