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

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) $\mathbf { r } ( t ) = 7 \cos t \mathbf { i } + 7 \sin t \mathbf { j }$