Use a Graphing Calculator and the Method of Matrix Inverses $$\begin{array} { r } \pi x + e y + \sqrt { 2 } z = 2 \\e x + \pi y + \sqrt { 2 } z = 4 \\\sqrt { 3 } x + e y + \pi z = 6\end{array}$$

question 497

Multiple Choice

Use a graphing calculator and the method of matrix inverses to solve the system. Give five decimal places, if necessary.
- $$\begin{array} { r } \pi x + e y + \sqrt { 2 } z = 2 \\e x + \pi y + \sqrt { 2 } z = 4 \\\sqrt { 3 } x + e y + \pi z = 6\end{array}$$

• A) \(\{ ( - 2.71828,3.14159,1.41421 ) \}\)
• B) \(\{ ( - 4.12755,4.84931 , - 0.01039 ) \}\)
• C) \(\{ ( 1.41421,2.82843,3.46410 ) \}\)
• D) \(\{ ( - 2.01284,2.71182,0.67317 ) \}\)

Understand the challenges in predicting outcomes and the potential inefficiency of consequentialist deliberations.

Understand the principle of utility and its association with the Greatest Happiness Principle as articulated by Mill.

Recognize the challenges and objections to act consequentialism, including the practical difficulty of calculating consequences for every action.

Identify key classical utilitarian theorists and their contributions to ethical philosophy.

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Definitions:

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired; a response that is initially elicited by the second stimulus is eventually elicited by the first stimulus alone.

Cognitive Focus

Concentration on or dedication of mental resources towards specific thoughts, tasks, or stimuli.

Spontaneous Recovery

The recurrence of an extinguished response as a function of the passage of time.

Previous Boyfriend

A term referring to a person's male partner in a past romantic relationship.