Solve the Initial Value Problem $$\frac { d y } { d x } = e ^ { 4 x } \cos e ^ { 4 x } , y ( 0 ) = 0$$

question 173

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = e ^ { 4 x } \cos e ^ { 4 x } , y ( 0 ) = 0$$

• A) \(y = \frac { 1 } { 4 } \sin x\)
• B) \(y = \frac { 1 } { 4 } \sin \mathrm { e } ^ { 4 x } - \frac { 1 } { 4 } \sin 1\)
• C) \(y = - \frac { 1 } { 4 } \sin e ^ { 4 x } + \frac { 1 } { 4 } \sin 1\)
• D) \(y = \frac { 1 } { 4 } \sin \mathrm { e } ^ { 4 \mathrm { x } } - \frac { 1 } { 4 }\)

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Definitions:

Dissonance Theory

A psychological theory proposing that inconsistency among beliefs, perceptions, and actions leads to discomfort, which people are motivated to reduce.

Attitude

A fairly stable evaluation of something as good or bad that makes a person think, feel, or behave positively or negatively about some person, group, or social issue.

Abortion

The medical or surgical termination of a pregnancy before the fetus is capable of independent life.

Peripheral Route

One of the two paths of persuasion according to the Elaboration Likelihood Model, where people are influenced by superficial cues rather than detailed message content.