Solve the Problem $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

question 77

Multiple Choice

Solve the problem.
-Find the point on the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ that is closest to the point $( 3,1 , - 1 )$ .

• A) \(\left( \frac { 6 } { \sqrt { 11 } } , \frac { 2 } { \sqrt { 11 } } , \frac { 2 } { \sqrt { 11 } } \right)\)
• B) \(\left( \frac { 6 } { \sqrt { 11 } } , \frac { 2 } { \sqrt { 11 } } , - \frac { 2 } { \sqrt { 11 } } \right)\)
• C) \(\left( - \frac { 6 } { \sqrt { 11 } } , \frac { 2 } { \sqrt { 11 } } , \frac { 2 } { \sqrt { 11 } } \right)\)
• D) \(\left( - \frac { 6 } { \sqrt { 11 } } , \frac { 2 } { \sqrt { 11 } } , - \frac { 2 } { \sqrt { 11 } } \right)\)

Identify the differences between PERT and CPM in project management.

Understand the phases of project management and tools used for project scheduling and planning.

Understand and identify issues related to internal and external validity in studies.

Recognize and address the impact of experimenter expectancy and demand characteristics on the results of a study.

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Definitions:

Net Operating Income

The income produced through a firm's regular commercial activities, not including taxes and interest.

Variable Costing

A record-keeping system in accounting that inputs only variable production-related expenses (direct materials, direct labor, and variable manufacturing overhead) into the cost evaluation of goods.

Unit Product Cost

The total cost (both variable and fixed) associated with producing a single unit of product, calculated by dividing the total production costs by the number of units produced.

Direct Labor Cost

Direct labor cost refers to the expenses associated with employees who directly contribute to the production of goods or services, including wages and other benefits.