Solve Round Your Results to Four Decimal Places $\mathrm { dx } = 0.2$

question 30

Multiple Choice

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

• A) \(\mathrm { y } \approx 0.4554\), exact value is \(\mathrm { e } ^ { - 2 }\)
• B) \(\mathrm { y } \approx 0.2554\), exact value is -e
• 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:

Mortgage Bond

A bond secured by real estate.

Par Value

The nominal or face value of a bond, share of stock, or coupon as indicated on a bond or stock certificate. It is a static value determined at the time of issuance.

Face Value

The nominal value stated on a financial instrument, such as a bond or stock certificate.

Present Value

The current economic value of a future financial sum or sequence of inflows, determined by a particular rate of return.