Which of the Following Equations Is Satisfied by the Function $x = e ^ { 2 t }$

question 152

Multiple Choice

Which of the following equations is satisfied by the function $x = e ^ { 2 t }$ ?

• A) \(x ^ { \prime } - 2 t = 0\)
• B) \(x ^ { \prime } - 4 x t = 0\)
• C) \(x ^ { \prime \prime } + 4 x = 0\)
• D) \(x ^ { \prime \prime } + x = 0\)
• E) \(x ^ { \prime } - 4 x = 0\)
• F) \(x ^ { \prime } + 4 x = 0\)
• G) \(x ^ { \prime \prime } - 4 x = 0\)
• H) \(x ^ { \prime \prime } - x = 0\)

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Definitions:

Seligman

Associated with Martin Seligman, a psychologist known for his work on learned helplessness, positive psychology, and well-being.

Attribution Retraining

A psychological intervention technique designed to help individuals change the way they interpret causes of events, particularly from seeing failures as internal and fixed to external and variable.

Unstable Attributions

Explanations for behavior or outcomes that suggest variability and can change over time or situations.

Balance as Midrange

An equilibrium state achieved by maintaining a moderate position between two extremes in various aspects of life or theory.