Solve Round Your Results to Four Decimal Places $d x = 0.2$

question 57

Multiple Choice

Solve. Round your results to four decimal places.
-Use the Euler method with $d x = 0.2$ to estimate $y ( 2 )$ if $y ^ { \prime } = - y / x$ and $y ( 1 ) = 1$ . What is the exact value of $y ( 2 )$ ?

• A) \(\mathrm { y } \approx 0.1429\), exact value is \(3.0000\)
• B) \(\mathrm { y } \approx 0.4444\), exact value is \(0.3333\)
• C) \(\mathrm { y } \approx 0.2143\), exact value is \(1.0000\)
• D) \(\mathrm { y } \approx 0.3571\), exact value is \(2.0000\)

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Definitions:

Cognitive Equilibrium

A state of mental balance where individuals' experiences are in harmony with their understanding and expectations, according to Piaget's theory of cognitive development.

Mental Balance

A state of psychological stability where thoughts, emotions, and actions are in harmony, often associated with well-being and coping skills.

Thought Processes

The ways in which individuals reason, reflect, evaluate, and form judgments.

Psychoanalytic Theory

A psychological theory originated by Sigmund Freud that emphasizes unconscious mental processes in influencing behavior.