Use Integration to Find a General Solution of the Differential $\frac { d y } { d x } = x \sqrt { x + 2 }$

question 42

Multiple Choice

Use integration to find a general solution of the differential equation. $\frac { d y } { d x } = x \sqrt { x + 2 }$

• A) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } - \frac { 4 } { 3 } ( x + 2 ) ^ { 5 / 2 } + C\)
• B) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } - ( x + 2 ) ^ { 3 / 2 } + C\)
• C) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 5 / 2 } - \frac { 4 } { 3 } ( x + 2 ) ^ { 3 / 2 } + C\)
• D) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } + \frac { 4 } { 3 } ( x + 2 ) ^ { 5 / 2 } + C\)
• E)\(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 2 } - \frac { 4 } { 3 } ( x + 2 ) + C\)

Understand the role of semantic encoding in memory and its effectiveness compared to other encoding methods.

Appreciate the significance of dual-coding theory and its implications for memory enhancement.

Recognize the impact of attention and divided attention on task performance and memory.

Understand self-referent encoding and its effectiveness in memory recall.