Find an Equation of the Tangent Plant to the Surface $z = \tan ^ { - 1 } ( y / x )$

question 194

Multiple Choice

Find an equation of the tangent plant to the surface $z = \tan ^ { - 1 } ( y / x )$ at the point $\left( - 2,2 , - \frac { \pi } { 4 } \right)$ .

• A) \(x + y + z = \pi\)
• B) \(x + y + 4 z + \pi = 0\)
• C) \(4 x + 4 y + z + \pi = 0\)
• D) \(2 x - 2 y + z = \frac { \pi } { 4 }\)
• E) \(2 x - 2 y + 4 z = \pi\)
• F) \(4 x - 2 y - z + \pi = 0\)
• G) \(x + 2 y + 4 z = 2 - \pi\)
• H) \(x + 2 y - 4 z = 2 + \pi\)

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