Solve the Initial Value Problem $$\frac { d y } { d x } = \frac { 1 } { 2 \sqrt { x } } + 7 , y ( 4 ) = - 5$$

question 35

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \frac { 1 } { 2 \sqrt { x } } + 7 , y ( 4 ) = - 5$$

• A) \(y = \sqrt { x } + 7 x - 35\)
• B) \(y = \frac { 1 } { \sqrt { x } } + 7 x - \frac { 67 } { 2 }\)
• C) \(y = \sqrt { x } + 7 x + 25\)
• D) \(y = \frac { - 1 } { 4 } \sqrt { x } + 7 x - \frac { 65 } { 2 }\)

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Definitions:

Self-regulatory Plans

Strategies developed by individuals to control their behavior, emotions, and thoughts toward achieving personal goals.

Encodings

In psychology, encodings refer to the process by which we perceive, process, and store information in memory.

Goals

Targets, achievements, or outcomes that an individual or group aims to accomplish through certain actions or behaviors.

Reinforcement Values

The perceived attractiveness or desirability of the outcome of a behavior, affecting how likely an individual is to repeat the behavior.