Suppose That We Model Populations of Aphids and Ladybugs with the System

question 37

Multiple Choice

Suppose that we model populations of aphids and ladybugs with the system of differential equations: $\begin{array} { l } \frac { d A } { d t } = 3 A - 0.01 A L \\\frac { d L } { d t } = - 0.5 L + 0.0001 A L\end{array}$ Find the expression for $\frac { d A } { d L }$ .

• A) \(\frac { - 0.5 L + 0.0001 A L } { 3 A - 0.01 A L }\)
• B) \(\frac { 0.5 L - 0.0001 A L } { 3 A - 0.01 A L }\)
• C) \(\frac { - 3 A + 0.01 A L } { - 0.5 + 0.0001 A L }\)
• D) \(\frac { 3 A - 0.01 A L } { - 0.5 L + 0.0001 A L }\)
• E) \(\frac { - 0.5 L + 0.0001 A L } { - 3 A + 0.01 A L }\)
• F) \(\frac { - 0.5 L + 0.0001 A L } { - 3 A - 0.01 A L }\)
• G) \(\frac { 3 A - 0.01 A L } { 0.5 L - 0.0001 A L }\)
• H) \(\frac { 3 A - 0.01 A L } { - 0.5 L - 0.0001 A L }\)

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Definitions:

Arrector Pili

Small muscles attached to hair follicles in mammals; their contraction causes hair to stand up, known as "goosebumps."

Voluntary Control

The conscious regulation of skeletal muscles and movements by the brain, permitting actions like walking, speaking, and grabbing.

Nervous Tissue

Specialized tissue that makes up the central and peripheral nervous systems, consisting of neurons and supporting cells, responsible for transmitting nerve signals.

Neurons

Nerve cells that are the building blocks of the nervous system, involved in processing and transmitting information through electrical and chemical signals.