Determine Whether the Vector Field Is Conservative A) Conservative with Potential Function

question 82

Multiple Choice

Determine whether the vector field is conservative. If it is, find a potential function for the vector field. $$\overrightarrow { \mathbf { F } } ( x , y , z ) = 7 x ^ { 6 } y ^ { 8 } z ^ { 9 } \hat { \mathbf { i } } + 8 x ^ { 7 } y ^ { 7 } z ^ { 9 } \hat { \mathbf { j } } + 9 x ^ { 7 } y ^ { 8 } z ^ { 8 } \hat { \mathbf { k } }$$

• A) conservative with potential function \(f ( x , y , z ) = x ^ { 8 } y ^ { 8 } z ^ { 8 }\)
• B) conservative with potential function \(f ( x , y , z ) = x ^ { 7 } y ^ { 8 } z ^ { 9 }\)
• C) conservative with potential function \(f ( x , y , z ) = x ^ { 9 } y ^ { 8 } z ^ { 7 }\)
• D) conservative with potential function \(f ( x , y , z ) = x ^ { 9 } y ^ { 9 } z ^ { 9 }\)
• E) not conservative

Differentiate between anabolic and catabolic reactions in terms of energy.

Understand the conditions required for measuring basal metabolic rate accurately.

Understand the origin of metabolic waste products such as urea.

Understand and identify the criteria for defining objectives, goals, mission, and vision within project management.

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Definitions:

Return Ratio

A financial metric indicating the profitability or effectiveness of an investment, often expressed as a percentage.

Denominator

The bottom number in a fraction that shows the total number of equal parts the whole is divided into.

Quick Ratio

A financial ratio that measures a company’s “instant” debt-paying ability, computed as quick assets divided by current liabilities.

Account Payable

The liability created by a purchase on account.