Find an Equation of the Tangent Plant to the Surface $z = \ln ( 2 x + y )$

question 110

Multiple Choice

Find an equation of the tangent plant to the surface $z = \ln ( 2 x + y )$ at the point $( - 1,3,0 )$ .

• A) \(2 x + y - z = 1\)
• B) \(x + 2 y + z = 5\)
• C) \(x - 2 y + z = 7\)
• D) \(3 x + 2 y + z = 3\)
• E) \(2 x + 3 y + z = 7\)
• F) \(x + 2 y + 3 z = 5\)
• G) \(3 x + y - z = 0\)
• H) \(x + 3 y + 2 z = 8\)

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Definitions:

Principal

The main party to a transaction or contract, often distinguished from an agent who acts on behalf of a principal.

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An obligation, either legal or financial, that an individual or entity is required to fulfill towards another party.

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A property right that grants the holder the exclusive use of a portion of another's real property for a specified purpose.

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An unlawful act of entering or remaining on someone's property without permission, sometimes extending to interference with a person’s rights.