Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { y ( q - y ) }$

question 270

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 1 } { y ( q - y ) }$

• A) \(\frac { 1 } { q } \left( \frac { 1 } { y } + \frac { 1 } { q + y } \right)\)
• B) \(\frac { 1 } { q } \left( \frac { 1 } { y } - \frac { 1 } { q - y } \right)\)
• C) \(\frac { 1 } { y } + \frac { 1 } { q - y }\)
• D) \(\frac { 1 } { q } \left( \frac { 1 } { y } + \frac { 1 } { q - y } \right)\)
• E) \(\frac { 1 } { q } \left( - \frac { 1 } { y } - \frac { 1 } { q - y } \right)\)

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Definitions:

Ectoderm

Ectoderm is the outermost layer of cells or tissue of an embryo in early development, giving rise to the formation of the nervous system and skin.

Endoderm

The innermost layer of cells or tissue of an embryo in early development that gives rise to the lining of the digestive and respiratory systems.

Embryonic Stage

A critical phase in prenatal development that occurs from about the 2nd to the 8th week after fertilization, during which major organs and structures begin to develop.

Germinal Stage

The first—and shortest—stage of the prenatal period, which takes place during the first two weeks following conception.