Give Parameterizations for a Circle of Radius 2 in the Plane

question 46

Multiple Choice

Give parameterizations for a circle of radius 2 in the plane, centered at origin, traversed anticlockwise.

• A) \(x = \cos t , y = \sin t , 0 \leq t \leq 2 \pi\)
• B) \(x = 4 \cos t , y = 4 \sin t , 0 \leq t \leq 2 \pi\)
• C) \(x = 2 \cos t , y = - 2 \sin t , \quad 0 \leq t \leq 2 \pi\)
• D) \(x = 2 \cos t , y = 2 \sin t , 0 \leq t \leq 2 \pi\)
• E) \(x = 2 \cos t , y = 2 \sin t , \quad 0 \leq t \leq \pi\)

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Definitions:

Unmyelinated C Fibres

Nerve fibers lacking a myelin sheath that are primarily involved in transmitting slow pain signals to the brain.

Pain Signals

Pain signals are neurological transmissions indicating harm or potential damage to the body, alerting the brain to discomfort or injury.

Sensory Adaptation

The process by which our senses adjust to different levels of stimulation, allowing us to notice changes in the environment more than constant stimuli.

Odour

A distinctive smell, especially an unpleasant one, perceived by the olfactory nerve system.