Solve the Initial Value Problem $$\frac { d y } { d x } = \frac { 1 } { x + 5 } , y ( - 4 ) = 6$$

question 399

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \frac { 1 } { x + 5 } , y ( - 4 ) = 6$$

• A) \(y = \ln ( x + 5 ) + 6\)
• B) \(y = - \frac { 1 } { ( x + 5 ) ^ { 2 } } + 6\)
• C) \(y = - \frac { 1 } { ( x + 5 ) ^ { 2 } } + 7\)
• D) \(y = \ln ( x + 5 ) + 6 - \ln 2\)

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Definitions:

Nucleolus

A dense, spherical structure within the nucleus of a cell, involved in ribosomal RNA synthesis and ribosome biogenesis.

Inhibit Translation

The process of hindering the synthesis of proteins by preventing the translation of messenger RNA (mRNA) on ribosomes.

Mobile DNA Element

Segments of DNA that can move or copy themselves to new positions within the genome, playing roles in genetic diversity and evolution.

Germ Cells

Specialized cells involved in reproduction, giving rise to gametes, such as sperm or eggs.