Find a Piecewise Smooth Parametrization of the Path C Given $\mathbf { r } ( t ) = 5 \cos t \mathbf { i } + 5 \sin t \mathbf { j }$

question 95

Multiple Choice

Find a piecewise smooth parametrization of the path C given in the following graph.

• A) \(\mathbf { r } ( t ) = 5 \cos t \mathbf { i } + 5 \sin t \mathbf { j }\)
• B) \(\mathbf { r } ( t ) = 4 \cos t \mathbf { i } + 4 \sin t \mathbf { j }\)
• C) \(\mathbf { r } ( t ) = 2 \cos t \mathbf { i } + 2 \sin t \mathbf { j }\)
• D) \(\mathbf { r } ( t ) = 3 \cos t \mathbf { i } + 3 \sin t \mathbf { j }\)
• E) \(\mathbf { r } ( t ) = 7 \cos t \mathbf { i } + 7 \sin t \mathbf { j }\)

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Definitions:

Object Permanence

The comprehension that objects remain in place even when they're not visible, audible, or detectable in any sensory manner.

Egocentrism

The inability to differentiate between one's own perspective and another person's perspective, often seen in early childhood development.

Accommodation

The process of adjusting one's schemas and understandings to better fit new information or experiences; also refers to arrangements for lodging or settling disagreements.

Scaffolding

A process in education and learning that involves providing supportive structures and guidance to allow the student to achieve higher levels of understanding.