\[\left( \mathbf{i} \right)~u\text{ }\left( x \right)\text{ }=\text{ }si{{n}^{2}}~x,\text{ }0\text{ }\le \text{ }x\text{ }\le \text{ }2\pi \text{ }\upsilon \text{ }\left( x \right)\text{ }=\text{ }\left| sin\text{ }x \right|,\text{ }0\text{ }\le \text{ }x\text{ }\le \text{ }2\pi \]

Since, \[g\text{ }\left( x \right)\text{ }=\text{ }sin\text{ }x\]is a periodic function with period \[\pi .\]

Therefore, \[u\text{ }\left( x \right)\text{ }=\text{ }si{{n}^{2}}~x\] is a periodic function with period \[2\pi .\]

Hence, we draw the graph of \[u\text{ }\left( x \right)\text{ }=\text{ }si{{n}^{2}}~x\] in the interval \[\left[ 0,\text{ }2\pi  \right].\]

The values of \[u\text{ }\left( x \right)\text{ }=\text{ }si{{n}^{2}}~x\] at various points in \[\left[ 0,\text{ }2\pi  \right]\]are listed in below:

The curve is:

\[\left( \mathbf{ii} \right)~f\text{ }\left( x \right)\text{ }=\text{ }2\text{ }sin\text{ }\pi x,\text{ }0\text{ }\le \text{ }x\text{ }\le \text{ }2\]

Since, \[g\text{ }\left( x \right)\text{ }=\text{ }sin\text{ }x\] is a periodic function with period \[2\pi .\]

Therefore, \[f\text{ }\left( x \right)\text{ }=\text{ }2\text{ }sin\text{ }\pi x\] is a periodic function with period \[2.\]

Hence, we draw the graph of \[f\text{ }\left( x \right)\text{ }=\text{ }2\text{ }sin\text{ }\pi x\] in the interval \[\left[ 0,\text{ }2 \right].\]

The values of \[f\text{ }\left( x \right)\text{ }=\text{ }2\text{ }sin\text{ }\pi x\]at various points in \[\left[ 0,\text{ }2 \right]\]are listed in below:

The curve is: