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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Definitions:

Hematologic Test

Laboratory analyses performed on blood samples to diagnose blood disorders or diseases.

Whole Blood

The total volume of plasma and formed elements, or blood in which the elements have not been separated by coagulation or centrifugation.

Blood Cells

Cells that circulate in the blood, comprising red blood cells, white blood cells, and platelets, each serving essential functions in the body.

Pathogenic Organisms

Microorganisms that cause disease in their host, including viruses, bacteria, fungi, and parasites.