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:

Financial Calculation

The process of determining the financial implications of various financial decisions through computations.

Daily Interest

Daily Interest calculates the amount of interest that accrues each day on a loan or investment, based on the principle and the annual interest rate, divided by the number of days in a year.

Financial Calculation

The process of using mathematical and statistical methods to analyze and assess financial data and scenarios.

Daily Interest

Interest calculated on a daily basis, typically used in various financial products and accounts.