Let $f ( x , y , z ) = e ^ { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$

question 72

Multiple Choice

Let $f ( x , y , z ) = e ^ { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$ , find curl $( \nabla f )$ at the point $( 1,1,1 )$ .

• A) \(e ^ { 3 } \mathbf { i }\)
• B)\(e ^ { 3 } 3 \mathrm { j }\)
• C) \(e ^ { 3 } \mathbf { k }\)
• D)\(e ^ { 3 } ( \mathbf { i } + \mathbf { j } )\)
• E)\(e ^ { 3 } ( \mathbf { i } + \mathbf { j } )\)
• F)\(e ( \mathbf { i } + \mathbf { j } + \mathbf { k } )\)
• G)\(e ^ { 6 } ( \mathbf { i } + \mathbf { j } + \mathbf { k } )\)
• H) \(0\)

Understand how budgeting processes are utilized in clinics and service companies.

Comprehend the concept of activity variance in financial management.

Identify the difference between favorable and unfavorable variances.

Apply knowledge of fixed and variable costs to predict financial outcomes.

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Definitions:

Fixed Costs

Expenses that do not change in proportion to the activity of a business, such as rent, salaries, and insurance.

Unit Contribution

The amount each unit sold contributes to covering fixed costs and generating profit, calculated as the unit selling price minus variable cost per unit.

Penetration Pricing

Strategy that sets a low price as a major marketing tactic.

Market Recognition

The degree to which a company or product is known and acknowledged by potential customers and the wider market.