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:

Status Symbols

Objects or indicators that signify an individual's wealth, prestige, or social class.

Working Class

A socio-economic group primarily consisting of people employed in manual or industrial labor with limited financial resources.

World View

an individual's or group's comprehensive perspective on the world and life, encompassing beliefs, values, and attitudes.

Status Crystallization

The clarity, consistency, and stability of an individual's social status across different contexts.