Find the Linearization of the Function at the Given Point $f ( x , y , z ) = \tan ^ { - 1 } x y z$

question 13

Multiple Choice

Find the linearization of the function at the given point.
- $f ( x , y , z ) = \tan ^ { - 1 } x y z$ at $( 9,9,9 )$

• A) \(L ( x , y , z ) = \frac { 81 } { 6562 } x + \frac { 81 } { 6562 } y + \frac { 81 } { 6562 } z + \tan ^ { - 1 } 81 - \frac { 243 } { 6562 }\)
• B) \(L ( x , y , z ) = \frac { 81 } { 6562 } x + \frac { 81 } { 6562 } y + \frac { 81 } { 6562 } z + \tan ^ { - 1 } 729 - \frac { 243 } { 6562 }\)
• C) \(L ( x , y , z ) = \frac { 81 } { 531,442 } x + \frac { 81 } { 531,442 } y + \frac { 81 } { 531,442 } z + \tan ^ { - 1 } 729 - \frac { 2187 } { 531,442 }\)
• D) \(\mathrm { L } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = \frac { 81 } { 531,442 } \mathrm { x } + \frac { 81 } { 531,442 } \mathrm { y } + \frac { 81 } { 531,442 } \mathrm { z } + \tan ^ { - 1 } 81 - \frac { 2187 } { 531,442 }\)

Determine the maximum memory supported by a motherboard.

Recommend performance improvements for systems with limited memory support.

Identify key memory technologies and their performance characteristics (e.g., XMP, virtual memory, unbuffered memory).

Utilize Windows utilities to monitor and gather information on memory utilization.

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