Provide an Appropriate Response $\mathrm { P } _ { 0 }$

question 101

Multiple Choice

Provide an appropriate response.
-Find the direction in which the function is increasing most rapidly at the point $\mathrm { P } _ { 0 }$ . $f ( x , y , z ) = x \sqrt { y ^ { 2 } + z ^ { 2 } } , P _ { 0 } ( 1,2,1 )$

• A) \(\sqrt { 30 } \left( \frac { \mathrm { i } } { 6 } + \frac { \mathrm { j } } { 15 } - \frac { \mathrm { k } } { 30 } \right)\)
• B) \(\frac { 1 } { \sqrt { 30 } } \left( \frac { i } { 6 } + \frac { j } { 15 } - \frac { k } { 30 } \right)\)
• C) \(\frac { 1 } { \sqrt { 30 } } \left( \frac { i } { 6 } + \frac { j } { 15 } + \frac { k } { 30 } \right)\)
• D) \(\sqrt { 30 } \left( \frac { \mathrm { i } } { 6 } + \frac { \mathrm { j } } { 15 } + \frac { \mathrm { k } } { 30 } \right)\)

Recognize the role of implicit and explicit motives in shaping behavior.

Acknowledge the importance of unconditional positive regard in achieving personal growth.

Understand the concept of intrinsic and extrinsic goals and their influence on wellbeing.

Relate psychological concepts like mindfulness and peak experiences to personal growth and development.

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Definitions:

Units Of Time

Standardized segments of time used for measuring duration, such as seconds, minutes, hours, days, months, and years.

Double-Declining-Balance Method

A method of accelerated depreciation where an asset's book value is reduced by twice the straight-line depreciation rate.

Depreciation Record

Depreciation Record is a detailed account of the depreciation amounts allocated over the life of an asset, which impacts the value of the asset on the balance sheet and the depreciation expense on the income statement.