Find Equations for the Tangent Plane and the Normal Line $x ^ { 2 } + 3 y ^ { 2 } + 9 z ^ { 2 } = 16$

question 118

Multiple Choice

Find equations for the tangent plane and the normal line to the surface with equation $x ^ { 2 } + 3 y ^ { 2 } + 9 z ^ { 2 } = 16$ at the point $P ( 2,1,1 )$

• A) \(x + 3 y + 9 z = 16\) , \(\frac { x - 2 } { 2 } = y - 3 = z - 9\)
• B) \(2 x + 3 y + 9 z = 16\) , \(\frac { x - 2 } { 2 } = \frac { y - 1 } { 3 } = \frac { z - 1 } { 9 }\)
• C) \(x + 3 y + 9 z = 16\) , \(\frac { x - 2 } { 2 } = \frac { y - 1 } { 3 } = \frac { z - 1 } { 9 }\)
• D) \(2 x + 3 y + 9 z = 16\) , \(\frac { x - 2 } { 2 } = y - 3 = z - 9\)

Grasp the significance of self-esteem and self-awareness in conformity.

Analyze the ethical implications of psychological experiments on conformity and obedience.

Recognize the role of group size and unanimity on conformity levels.

Understand the process and effects of private acceptance and public compliance.

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Definitions:

Negligence

A failure to behave with the level of care that someone of ordinary prudence would have exercised under the same circumstances, resulting in harm or damage.

Purpose

In criminal law, the intent to cause the result that does, in fact, occur.

Knowledge

In criminal law, the awareness that a particular result will probably occur.

Battery

The unlawful physical acting upon a threat, characterized by the use of force against another, resulting in harmful or offensive contact.