Compute the Gradient of the Function at the Given Point $f ( x , y , z ) = - 7 x - 7 y - 6 z , \quad ( 3 , - 8,5 )$

question 215

Multiple Choice

Compute the gradient of the function at the given point.
- $f ( x , y , z ) = - 7 x - 7 y - 6 z , \quad ( 3 , - 8,5 )$

• A) \({\nabla} f = - 7 \mathbf { i } - 7 \mathbf { j } - 6 \mathbf { k }\)
• B) \({\nabla} f = - 21 \mathbf { i } - 56 \mathbf { j } - 30 \mathbf { k }\)
• C) \({\nabla} f = \mathbf { i } - 8 \mathbf { j } + 5 \mathbf { k }\)
• D) \({\nabla} f = - 21 \mathbf { i } + 56 \mathbf { j } - 30 \mathbf { k }\)

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Definitions:

Justice System

A framework of legal institutions, laws, and practices aiming to ensure fairness, resolve disputes, and punish wrongdoing.

Counterbalance

To oppose or offset the effect of something with an equal but opposite force or influence, maintaining equilibrium.

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The two opposing sides in a court case; the prosecution argues the case against the defendant, while the defense represents and argues on behalf of the defendant.

Rule 3.8

A professional conduct rule for prosecutors in the American Bar Association's Model Rules, guiding them on fair practice and the handling of evidence.