Solve the Initial Value Problem A) $s = \sin \left( 9 t - \frac { 3 \pi } { 2 } \right) - 3$

question 282

Multiple Choice

Solve the initial value problem.
- $\frac { \mathrm { d } ^ { 2 } \mathrm {~s} } { \mathrm { dt } ^ { 2 } } = - 81 \sin \left( 9 \mathrm { t } - \frac { 3 \pi } { 2 } \right) , \mathrm { s } ^ { \prime } ( 0 ) = 7 , \mathrm {~s} ( 0 ) = - 2$

• A) \(s = \sin \left( 9 t - \frac { 3 \pi } { 2 } \right) - 3\)
• B) \(s = \sin \left( 9 t - \frac { 3 \pi } { 2 } \right) + 6 t - 2\)
• C) \(s = 9 \cos \left( 9 t - \frac { 3 \pi } { 2 } \right) + 7\)
• D) \(s = \sin \left( 9 t - \frac { 3 \pi } { 2 } \right) + 7 t - 3\)

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Definitions:

Unemployment Rate

The ratio of individuals without employment, yet are actively pursuing job opportunities in the labor force.

Disinflation

A decrease in the rate of inflation, indicating a slowdown in the rate at which prices for goods and services increase over time.

Phillips Curve

An economic concept that illustrates an inverse relationship between the rate of inflation and the unemployment rate in the short run.

Disinflates

Disinflation refers to a reduction in the rate of inflation, leading to a slower increase in the price levels of goods and services.