Solve the Initial Value Problem A) $r = \frac { 2 } { t } + 4 t - 1$

question 171

Multiple Choice

Solve the initial value problem.
- $$\frac { \mathrm { d } ^ { 2 } \mathrm { r } } { \mathrm { dt } ^ { 2 } } = \frac { 4 } { \mathrm { t } ^ { 3 } } ; \left. \frac { \mathrm { dr } } { \mathrm { dt } } \right| _ { \mathrm { t } = 1 } = 2 , \quad \mathrm { r } ( 1 ) = 5$$

• A) \(r = \frac { 2 } { t } + 4 t - 1\)
• B) \(r = 2 t + 4 t + 11\)
• C) \(r = \frac { 2 } { t } + 4 t + 11\)
• D) \(r = \frac { 4 } { - 5 t ^ { 5 } } + \frac { 14 } { 5 } t - 1\)

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Definitions:

Wernicke's Area

A region of the brain that is important for language development and comprehension.

Limbic System

is a complex system of nerves and networks in the brain, involved with instinct and mood. It controls basic emotions and drives.

Somatic Nervous System

A part of the peripheral nervous system that controls voluntary movements of the body through the innervation of skeletal muscles and mediates sensory information.

Sympathetic

Refers to the part of the autonomic nervous system that often prepares the body for rapid action in stressful situations, involving responses like accelerated heart rate and increased blood pressure.