Solve Round Your Results to Four Decimal Places $y ^ { \prime } = - y$

question 41

Multiple Choice

Solve. Round your results to four decimal places.
-Use the Euler method with dx = 0.2 to estimate y(3) if $y ^ { \prime } = - y$ and y(2) = -2. What is the exact value of y(3) ?

• A) \(\mathrm { y } \approx - 0.2554\), exact value is -e
• B) \(\mathrm { y } \approx - 0.4554\), exact value is \(\mathrm { e } ^ { - 2 }\)
• C) \(\mathrm { y } \approx - 0.0554\), exact value is \(- 2 \mathrm { e }\)
• D) \(\mathrm { y } \approx - 0.6554\), exact value is \(- 2 \mathrm { e } ^ { - 1 }\)

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Definitions:

Construct Validity

The degree to which a test or tool measures the theoretical construct or trait it is intended to measure, reflecting its accuracy and appropriateness of inferences drawn from test scores.

Discriminant Validity

A property demonstrating that a test or scale that is not closely related to variables from which it is theoretically distinct.

Construct Validity

The degree to which a test or instrument accurately measures the theoretical construct or psychological concept it intends to.

Content Validity

The degree to which a test or instrument covers the representative breadth of the topic or construct it is intended to measure.